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GCF (HCF) of 3 and 24

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 3 and 24?

Answer

GCF (HCF) of 3 and 24 is

3

Common factors: 1, 3

3 divides 24 (24 ÷ 3 = 8), so the GCF is the smaller number itself.

3 — prime

24 = 2³ × 3

Prime	3	24	Lowest power
2	—	2³	—
3	3	3	3

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

GCF = 3

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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 3 and 24. The GCF of 3 and 24 is 3 — 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/3--24/generated.jpg

GCF Table

Number 1	Number 2	GCF
3	6	3
3	7	1
3	8	1
3	9	3
3	10	1
3	11	1
3	12	3
3	14	1
3	15	3
3	16	1
3	17	1
3	18	3
3	19	1
3	21	3
3	22	1
3	24	3
3	25	1
3	27	3
3	30	3
3	34	1
3	36	3
3	42	3
3	45	3
3	46	1
3	47	1
3	48	3
3	51	3
3	54	3
3	55	1
3	57	3

FAQ

What is the Greatest Common Divisor of 3 and 24?

GCF (HCF) of 3 and 24 is 3

How to find the GCF of 3 and 24?

You can find the GCF of 3 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 3 and 24 is 3.

What prime factors do 3 and 24 share?

The prime factorizations of 3 and 24 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 3/24?

Divide the numerator and the denominator by the GCF 3: 3 ÷ 3 = 1 and 24 ÷ 3 = 8. So 3/24 in lowest terms is 1/8.