Fractionated Gemtuzumab Ozogamicin in Treating Measurable Residual Disease in Patients With Acute Myeloid Leukemia

Inclusion Criteria: * Prior diagnosis AML based on 2016 World Health Organization criteria. Acute promyelocytic leukemia (APL) and biphenotypic AML are not eligible * Patients must have MRD-level disease only and otherwise meet criteria for complete response (CR) or complete remission with incomplete hematologic recovery (CRi) per the 2017 European Leukemia Net response criteria (\< 5% blasts in the marrow without a requirement for peripheral blood count recovery). MRD must be measurable by multiparameter flow cytometry (MPFC) and/or polymerase chain reaction (PCR)-based molecular markers and/or karyotypic markers (e.g., classical cytogenetics or fluorescence in situ hybridization). MRD status will be centrally confirmed by the UW/FHCRC clinical laboratory in order to standardize response assessment following administration of study therapy. * Patients must have received at least 1 cycle of standard induction chemotherapy prior to enrollment on the study. However, adult patients (\>= 18 years of age) are eligible for participation at any time point in treatment (after induction, during or after consolidation, pre-transplant, or post-transplant). * Age \>= 18 years of age * Eastern Cooperative Oncology Group (ECOG) performance status =\< 3 * Patient's AML blasts must have CD33 expression. * For adults (\>= 18 years of age): Serum creatinine =\< 2.0 mg/dL. * For adults (\>= 18 years of age): Total bilirubin =\< 2 x institutional upper limit of normal for age (unless known history of Gilbert's disease). * For adults (\>= 18 years of age): Aspartate aminotransferase (AST) and alanine aminotransferase (ALT) \< 2.5 x institutional upper limit of normal for age (unless thought to be related to resolving infectious complications). * Ability of patient to provide written informed consent. * Females of childbearing potential must have a negative pregnancy test prior to receiving GO. * Patients who re-enroll must have achieved an MRD-negative CR during their prior enrollment Exclusion Criteria: * Subjects who have had chemotherapy or radiation therapy within 14 days prior to entering the study. * Subjects may not be receiving other investigational agents. * Uncontrolled or concurrent illness including, but not limited to, uncontrolled infection, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements.