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GCF (HCF) of 38 and 48

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 38 and 48?

Answer

GCF (HCF) of 38 and 48 is

2

Common factors: 1, 2

2 divides both: 38 ÷ 2 = 19, 48 ÷ 2 = 24 — and 19 and 24 share no factor but 1, so no larger number divides both.

38 = 2 × 19

48 = 2⁴ × 3

Prime	38	48	Lowest power
2	2	2⁴	2
3	—	3	—
19	19	—	—

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

GCF = 2

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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 38 and 48. The GCF of 38 and 48 is 2 — 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/38--48/generated.jpg

GCF Table

Number 1	Number 2	GCF
38	33	1
38	34	2
38	35	1
38	36	2
38	37	1
38	38	38
38	39	1
38	40	2
38	41	1
38	42	2
38	43	1
38	44	2
38	45	1
38	46	2
38	47	1
38	48	2
38	49	1
38	50	2
38	51	1
38	52	2
38	53	1
38	54	2
38	55	1
38	56	2
38	57	19
38	58	2
38	59	1
38	60	2
38	61	1
38	62	2

FAQ

What is the Greatest Common Divisor of 38 and 48?

GCF (HCF) of 38 and 48 is 2

How to find the GCF of 38 and 48?

You can find the GCF of 38 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 38 and 48 is 2.

What prime factors do 38 and 48 share?

The prime factorizations of 38 and 48 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 38/48?

Divide the numerator and the denominator by the GCF 2: 38 ÷ 2 = 19 and 48 ÷ 2 = 24. So 38/48 in lowest terms is 19/24.