GCF (HCF) of 24 and 36

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What is the Greatest Common Divisor of 24 and 36?

Answer

GCF (HCF) of 24 and 36 is
12

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

12 divides both: 24 ÷ 12 = 2, 36 ÷ 12 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

24 = 23 × 3

36 = 22 × 32

Prime2436Lowest power
2232222
33323

GCF = 22 × 3 = 12

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GCF Table

Number 1Number 2GCF
2493
24168
24186
24251
24262
24273
24284
24306
24328
24333
24342
24351
243612
24371
24382
24393
24408
24411
24426
24431
24444
24453
24462
244824
24502
24524
24531
24546
24568
246012

FAQ

What is the Greatest Common Divisor of 24 and 36?

GCF (HCF) of 24 and 36 is 12

How to find the GCF of 24 and 36?

You can find the GCF of 24 and 36 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 36 is 12.

What prime factors do 24 and 36 share?

The prime factorizations of 24 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 24/36?

Divide the numerator and the denominator by the GCF 12: 24 ÷ 12 = 2 and 36 ÷ 12 = 3. So 24/36 in lowest terms is 2/3.

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