GCF (HCF) of 36 and 28

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What is the Greatest Common Divisor of 36 and 28?

Answer

GCF (HCF) of 36 and 28 is
4

Common factors: 1, 2, 4

4 divides both: 36 ÷ 4 = 9, 28 ÷ 4 = 7 — and 9 and 7 share no factor but 1, so no larger number divides both.

36 = 22 × 32

28 = 22 × 7

Prime3628Lowest power
2222222
332——
7—7—

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

GCF = 22 = 4

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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 28?

GCF (HCF) of 36 and 28 is 4

How to find the GCF of 36 and 28?

You can find the GCF of 36 and 28 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 36 and 28 is 4.

What prime factors do 36 and 28 share?

The prime factorizations of 36 and 28 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 36/28?

Divide the numerator and the denominator by the GCF 4: 36 ÷ 4 = 9 and 28 ÷ 4 = 7. So 36/28 in lowest terms is 9/7.

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