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GCF (HCF) of 20 and 35

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 20 and 35?

Answer

GCF (HCF) of 20 and 35 is

5

Common factors: 1, 5

5 divides both: 20 ÷ 5 = 4, 35 ÷ 5 = 7 — and 4 and 7 share no factor but 1, so no larger number divides both.

20 = 2² × 5

35 = 5 × 7

Prime	20	35	Lowest power
2	2²	—	—
5	5	5	5
7	—	7	—

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

GCF = 5

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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 20 and 35. The GCF of 20 and 35 is 5 — 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
20	12	4
20	15	5
20	21	1
20	22	2
20	23	1
20	24	4
20	25	5
20	26	2
20	27	1
20	28	4
20	30	10
20	32	4
20	35	5
20	36	4
20	38	2
20	39	1
20	40	20
20	42	2
20	44	4
20	45	5
20	47	1
20	48	4
20	50	10
20	55	5
20	56	4
20	58	2
20	59	1
20	60	20
20	70	10
20	75	5

FAQ

What is the Greatest Common Divisor of 20 and 35?

GCF (HCF) of 20 and 35 is 5

How to find the GCF of 20 and 35?

You can find the GCF of 20 and 35 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 20 and 35 is 5.

What prime factors do 20 and 35 share?

The prime factorizations of 20 and 35 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 20/35?

Divide the numerator and the denominator by the GCF 5: 20 ÷ 5 = 4 and 35 ÷ 5 = 7. So 20/35 in lowest terms is 4/7.