GCF (HCF) of 64 and 144

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What is the Greatest Common Divisor of 64 and 144?

Answer

GCF (HCF) of 64 and 144 is
16

Common factors: 1, 2, 4, 8, 16

16 divides both: 64 ÷ 16 = 4, 144 ÷ 16 = 9 — and 4 and 9 share no factor but 1, so no larger number divides both.

64 = 26

144 = 24 × 32

Prime64144Lowest power
2262424
3—32—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 24 = 16

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GCF Table

Number 1Number 2GCF
641291
641302
641311
641324
641331
641342
641351
641368
641371
641382
641391
641404
641411
641422
641431
6414416
641451
641462
641471
641484
641491
641502
641511
641528
641531
641542
641551
641564
641571
641582

FAQ

What is the Greatest Common Divisor of 64 and 144?

GCF (HCF) of 64 and 144 is 16

How to find the GCF of 64 and 144?

You can find the GCF of 64 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 144 is 16.

What prime factors do 64 and 144 share?

The prime factorizations of 64 and 144 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

How does the GCF reduce the fraction 64/144?

Divide the numerator and the denominator by the GCF 16: 64 ÷ 16 = 4 and 144 ÷ 16 = 9. So 64/144 in lowest terms is 4/9.

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