GCF and LCM of 64 and 96
The greatest common factor and least common multiple of 64 and 96.
GCF of 64 and 96
32
LCM of 64 and 96
192
How it works
Break each number into its prime factors:
- 64 = 2⁶
- 96 = 2⁵ × 3
The GCF (32) multiplies the primes both share, at the lowest power each appears. The LCM (192) multiplies every prime that appears in either number, at the highest power — which is also 64 × 96 ÷ 32 = 192.
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Frequently asked questions
What is the GCF of 64 and 96?+
The greatest common factor (GCF) of 64 and 96 is 32 — the largest number that divides both 64 and 96 with no remainder.
What is the LCM of 64 and 96?+
The least common multiple (LCM) of 64 and 96 is 192 — the smallest number that both 64 and 96 divide into. It equals 64 × 96 ÷ GCF = 6144 ÷ 32 = 192.