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GCF (HCF) of 100 and 250

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 100 and 250?

Answer

GCF (HCF) of 100 and 250 is

50

Common factors: 1, 2, 5, 10, 25, 50

50 divides both: 100 ÷ 50 = 2, 250 ÷ 50 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.

100 = 2² × 5²

250 = 2 × 5³

Prime	100	250	Lowest power
2	2²	2	2
5	5²	5³	5²

GCF = 2 × 5² = 50

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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 100 and 250. The GCF of 100 and 250 is 50 — 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
100	145	5
100	150	50
100	160	20
100	165	5
100	170	10
100	180	20
100	185	5
100	190	10
100	200	100
100	205	5
100	220	20
100	230	10
100	235	5
100	240	20
100	245	5
100	250	50
100	260	20
100	270	10
100	275	25
100	280	20
100	290	10
100	300	100
100	305	5
100	310	10
100	315	5
100	335	5
100	345	5
100	350	50
100	360	20
100	370	10

FAQ

What is the Greatest Common Divisor of 100 and 250?

GCF (HCF) of 100 and 250 is 50

How to find the GCF of 100 and 250?

You can find the GCF of 100 and 250 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 100 and 250 is 50.

What prime factors do 100 and 250 share?

The prime factorizations of 100 and 250 have 2 × 5 × 5 in common, and multiplying those shared primes gives 50 — exactly the greatest common factor.

How does the GCF reduce the fraction 100/250?

Divide the numerator and the denominator by the GCF 50: 100 ÷ 50 = 2 and 250 ÷ 50 = 5. So 100/250 in lowest terms is 2/5.

See Also