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GCF (HCF) of 50 and 490

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 50 and 490?

Answer

GCF (HCF) of 50 and 490 is

10

Common factors: 1, 2, 5, 10

10 divides both: 50 ÷ 10 = 5, 490 ÷ 10 = 49 — and 5 and 49 share no factor but 1, so no larger number divides both.

50 = 2 × 5²

490 = 2 × 5 × 7²

Prime	50	490	Lowest power
2	2	2	2
5	5²	5	5
7	—	7²	—

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

GCF = 2 × 5 = 10

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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 50 and 490. The GCF of 50 and 490 is 10 — 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
50	115	5
50	145	5
50	150	50
50	175	25
50	180	10
50	210	10
50	220	10
50	280	10
50	295	5
50	300	50
50	310	10
50	315	5
50	325	25
50	330	10
50	340	10
50	365	5
50	380	10
50	390	10
50	395	5
50	415	5
50	420	10
50	430	10
50	435	5
50	440	10
50	460	10
50	465	5
50	470	10
50	490	10
50	495	5
50	500	50

FAQ

What is the Greatest Common Divisor of 50 and 490?

GCF (HCF) of 50 and 490 is 10

How to find the GCF of 50 and 490?

You can find the GCF of 50 and 490 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 490 is 10.

What prime factors do 50 and 490 share?

The prime factorizations of 50 and 490 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 50/490?

Divide the numerator and the denominator by the GCF 10: 50 ÷ 10 = 5 and 490 ÷ 10 = 49. So 50/490 in lowest terms is 5/49.