GCF and LCM of 16 and 17
The greatest common factor and least common multiple of 16 and 17.
GCF of 16 and 17
1
LCM of 16 and 17
272
How it works
Break each number into its prime factors:
- 16 = 2⁴
- 17 = 17
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (272) multiplies every prime that appears in either number, at the highest power — which is also 16 × 17 ÷ 1 = 272.
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Frequently asked questions
What is the GCF of 16 and 17?+
The greatest common factor (GCF) of 16 and 17 is 1 — the largest number that divides both 16 and 17 with no remainder.
What is the LCM of 16 and 17?+
The least common multiple (LCM) of 16 and 17 is 272 — the smallest number that both 16 and 17 divide into. It equals 16 × 17 ÷ GCF = 272 ÷ 1 = 272.