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GCF (HCF) of 38 and 40

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 38 and 40?

Answer

GCF (HCF) of 38 and 40 is

2

Common factors: 1, 2

2 divides both: 38 ÷ 2 = 19, 40 ÷ 2 = 20 — and 19 and 20 share no factor but 1, so no larger number divides both.

38 = 2 × 19

40 = 2³ × 5

Prime	38	40	Lowest power
2	2	2³	2
5	—	5	—
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 40. The GCF of 38 and 40 is 2 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
38	25	1
38	26	2
38	27	1
38	28	2
38	29	1
38	30	2
38	31	1
38	32	2
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

FAQ

What is the Greatest Common Divisor of 38 and 40?

GCF (HCF) of 38 and 40 is 2

How to find the GCF of 38 and 40?

You can find the GCF of 38 and 40 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 38 and 40 is 2.

What prime factors do 38 and 40 share?

The prime factorizations of 38 and 40 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 38/40?

Divide the numerator and the denominator by the GCF 2: 38 ÷ 2 = 19 and 40 ÷ 2 = 20. So 38/40 in lowest terms is 19/20.