GCF (HCF) of 12 and 36

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What is the Greatest Common Divisor of 12 and 36?

Answer

GCF (HCF) of 12 and 36 is
12

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

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

12 = 22 × 3

36 = 22 × 32

Prime1236Lowest power
2222222
33323

GCF = 22 × 3 = 12

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GCF Table

Number 1Number 2GCF
12186
12191
12204
12213
12222
122412
12251
12262
12273
12284
12306
12324
12333
12342
12351
123612
12393
12404
12411
12426
12431
12444
12453
124812
12491
12502
12524
12546
12564
126012

FAQ

What is the Greatest Common Divisor of 12 and 36?

GCF (HCF) of 12 and 36 is 12

How to find the GCF of 12 and 36?

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

What prime factors do 12 and 36 share?

The prime factorizations of 12 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 12/36?

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

See Also