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GCF (HCF) of 48 and 53

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What is the Greatest Common Divisor of 48 and 53?

Answer

GCF (HCF) of 48 and 53 is

1

Common factors: 1

Only 1 divides both: 48 and 53 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 48 × 53 = 2,544.

48 = 2⁴ × 3

53 — prime

Prime	48	53	Lowest power
2	2⁴	—	—
3	3	—	—
53	—	53	—

— = 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 48 and 53. The GCF of 48 and 53 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
48	12	12
48	32	16
48	36	12
48	49	1
48	50	2
48	51	3
48	52	4
48	53	1
48	54	6
48	56	8
48	57	3
48	58	2
48	59	1
48	60	12
48	64	16
48	66	6
48	72	24
48	75	3
48	80	16
48	81	3
48	84	12
48	90	6
48	96	48
48	99	3
48	100	4
48	120	24
48	128	16
48	168	24
48	450	6

FAQ

What is the Greatest Common Divisor of 48 and 53?

GCF (HCF) of 48 and 53 is 1

How to find the GCF of 48 and 53?

You can find the GCF of 48 and 53 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 48 and 53 is 1.

What prime factors do 48 and 53 share?

48 and 53 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 48/53?

Divide the numerator and the denominator by the GCF 1: 48 ÷ 1 = 48 and 53 ÷ 1 = 53. So 48/53 in lowest terms is 48/53.

Are 48 and 53 coprime?

Yes, 48 and 53 are coprime (relatively prime) because their Greatest Common Factor is 1.