GCF (HCF) of 36 and 3

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Greatest Common Factor of
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What is the Greatest Common Divisor of 36 and 3?

Answer

GCF (HCF) of 36 and 3 is
3

Common factors: 1, 3

3 divides 36 (36 ÷ 3 = 12), so the GCF is the smaller number itself.

36 = 22 × 32

3 — prime

Prime363Lowest power
222——
33233

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

GCF = 3

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GCF Table

Number 1Number 2GCF
3633
361818
362412
36279
36284
36371
36382
36393
36404
36426
36431
36444
36459
36462
36471
364812
36491
36502
36513
36531
365418
36551
36564
36591
366012
36639
36644
36666
36804
36819

FAQ

What is the Greatest Common Divisor of 36 and 3?

GCF (HCF) of 36 and 3 is 3

How to find the GCF of 36 and 3?

You can find the GCF of 36 and 3 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 36 and 3 is 3.

What prime factors do 36 and 3 share?

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

How does the GCF reduce the fraction 36/3?

Divide the numerator and the denominator by the GCF 3: 36 ÷ 3 = 12 and 3 ÷ 3 = 1. So 36/3 in lowest terms is 12/1.

See Also