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GCF (HCF) of 70 and 490

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 70 and 490?

Answer

GCF (HCF) of 70 and 490 is

70

Common factors: 1, 2, 5, 7, 10, 14, 35, 70

70 divides 490 (490 ÷ 70 = 7), so the GCF is the smaller number itself.

70 = 2 × 5 × 7

490 = 2 × 5 × 7²

Prime	70	490	Lowest power
2	2	2	2
5	5	5	5
7	7	7²	7

GCF = 2 × 5 × 7 = 70

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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 70 and 490. The GCF of 70 and 490 is 70 — 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/70--490/generated.jpg

GCF Table

Number 1	Number 2	GCF
70	205	5
70	215	5
70	220	10
70	225	5
70	230	10
70	235	5
70	250	10
70	255	5
70	260	10
70	270	10
70	280	70
70	290	10
70	300	10
70	305	5
70	310	10
70	315	35
70	320	10
70	345	5
70	370	10
70	380	10
70	385	35
70	390	10
70	400	10
70	410	10
70	430	10
70	450	10
70	455	35
70	490	70
70	495	5
70	500	10

FAQ

What is the Greatest Common Divisor of 70 and 490?

GCF (HCF) of 70 and 490 is 70

How to find the GCF of 70 and 490?

You can find the GCF of 70 and 490 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 70 and 490 is 70.

What prime factors do 70 and 490 share?

The prime factorizations of 70 and 490 have 2 × 5 × 7 in common, and multiplying those shared primes gives 70 — exactly the greatest common factor.

How does the GCF reduce the fraction 70/490?

Divide the numerator and the denominator by the GCF 70: 70 ÷ 70 = 1 and 490 ÷ 70 = 7. So 70/490 in lowest terms is 1/7.