GCF (HCF) of 36 and 120

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What is the Greatest Common Divisor of 36 and 120?

Answer

GCF (HCF) of 36 and 120 is
12

Common factors: 1, 2, 3, 4, 6, 12

12 divides both: 36 ÷ 12 = 3, 120 ÷ 12 = 10 — and 3 and 10 share no factor but 1, so no larger number divides both.

36 = 22 × 32

120 = 23 × 3 × 5

Prime36120Lowest power
2222322
33233
5—5—

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

GCF = 22 × 3 = 12

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GCF Table

Number 1Number 2GCF
36426
36431
36444
36459
36462
36471
364812
36491
36502
36513
36531
365418
36551
36564
36591
366012
36639
36644
36666
36804
36819
368412
369018
361004
3612012
361211
3613212
3614436
3616218
3690036

FAQ

What is the Greatest Common Divisor of 36 and 120?

GCF (HCF) of 36 and 120 is 12

How to find the GCF of 36 and 120?

You can find the GCF of 36 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 36 and 120 is 12.

What prime factors do 36 and 120 share?

The prime factorizations of 36 and 120 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 36/120?

Divide the numerator and the denominator by the GCF 12: 36 ÷ 12 = 3 and 120 ÷ 12 = 10. So 36/120 in lowest terms is 3/10.

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