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GCF (HCF) of 36 and 48

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What is the Greatest Common Divisor of 36 and 48?

Answer

GCF (HCF) of 36 and 48 is

12

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

12 divides both: 36 ÷ 12 = 3, 48 ÷ 12 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

36 = 2² × 3²

48 = 2⁴ × 3

Prime	36	48	Lowest power
2	2²	2⁴	2²
3	3²	3	3

GCF = 2² × 3 = 12

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 36 and 48. The GCF of 36 and 48 is 12 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

https://calculat.io/en/number/greatest-common-factor-of/36--48/generated.jpg

GCF Table

Number 1	Number 2	GCF
36	3	3
36	18	18
36	24	12
36	27	9
36	28	4
36	37	1
36	38	2
36	39	3
36	40	4
36	42	6
36	43	1
36	44	4
36	45	9
36	46	2
36	47	1
36	48	12
36	49	1
36	50	2
36	51	3
36	53	1
36	54	18
36	55	1
36	56	4
36	59	1
36	60	12
36	63	9
36	64	4
36	66	6
36	80	4
36	81	9

FAQ

What is the Greatest Common Divisor of 36 and 48?

GCF (HCF) of 36 and 48 is 12

How to find the GCF of 36 and 48?

You can find the GCF of 36 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 36 and 48 is 12.

What prime factors do 36 and 48 share?

The prime factorizations of 36 and 48 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 36/48?

Divide the numerator and the denominator by the GCF 12: 36 ÷ 12 = 3 and 48 ÷ 12 = 4. So 36/48 in lowest terms is 3/4.