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GCF (HCF) of 32 and 49

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What is the Greatest Common Divisor of 32 and 49?

Answer

GCF (HCF) of 32 and 49 is

1

Common factors: 1

Only 1 divides both: 32 and 49 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 32 × 49 = 1,568.

32 = 2⁵

49 = 7²

Prime	32	49	Lowest power
2	2⁵	—	—
7	—	7²	—

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

GCF = 1

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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 32 and 49. The GCF of 32 and 49 is 1 — 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
32	33	1
32	34	2
32	35	1
32	36	4
32	38	2
32	40	8
32	41	1
32	42	2
32	44	4
32	45	1
32	46	2
32	48	16
32	49	1
32	50	2
32	51	1
32	52	4
32	54	2
32	55	1
32	56	8
32	57	1
32	58	2
32	60	4
32	80	16
32	81	1
32	84	4
32	90	2
32	96	32
32	128	32
32	176	16

FAQ

What is the Greatest Common Divisor of 32 and 49?

GCF (HCF) of 32 and 49 is 1

How to find the GCF of 32 and 49?

You can find the GCF of 32 and 49 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 32 and 49 is 1.

What prime factors do 32 and 49 share?

32 and 49 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 32/49?

Divide the numerator and the denominator by the GCF 1: 32 ÷ 1 = 32 and 49 ÷ 1 = 49. So 32/49 in lowest terms is 32/49.

Are 32 and 49 coprime?

Yes, 32 and 49 are coprime (relatively prime) because their Greatest Common Factor is 1.