GCF (HCF) of 96 and 36

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What is the Greatest Common Divisor of 96 and 36?

Answer

GCF (HCF) of 96 and 36 is
12

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

12 divides both: 96 ÷ 12 = 8, 36 ÷ 12 = 3 — and 8 and 3 share no factor but 1, so no larger number divides both.

96 = 25 × 3

36 = 22 × 32

Prime9636Lowest power
2252222
33323

GCF = 22 × 3 = 12

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GCF Table

Number 1Number 2GCF
96213
96222
96231
962424
96251
96262
96273
96284
96291
96306
96311
963232
96333
96342
96351
963612
96371
96382
96393
96408
96411
96426
96431
96444
96453
96462
96471
964848
96491
96502

FAQ

What is the Greatest Common Divisor of 96 and 36?

GCF (HCF) of 96 and 36 is 12

How to find the GCF of 96 and 36?

You can find the GCF of 96 and 36 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 96 and 36 is 12.

What prime factors do 96 and 36 share?

The prime factorizations of 96 and 36 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 96/36?

Divide the numerator and the denominator by the GCF 12: 96 ÷ 12 = 8 and 36 ÷ 12 = 3. So 96/36 in lowest terms is 8/3.

See Also