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GCF (HCF) of 100 and 100

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 100 and 100?

Answer

GCF (HCF) of 100 and 100 is

100

Common factors: 1, 2, 4, 5, 10, 20, 25, 50, 100

Both numbers are the same, so the GCF and the LCM both equal the number itself: 100.

100 = 2² × 5²

100 = 2² × 5²

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

GCF = 2² × 5² = 100

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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 100 and 100. The GCF of 100 and 100 is 100 — 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	100	100
100	105	5
100	110	10
100	120	20
100	121	1
100	125	25
100	135	5
100	140	20
100	144	4
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

FAQ

What is the Greatest Common Divisor of 100 and 100?

GCF (HCF) of 100 and 100 is 100

How to find the GCF of 100 and 100?

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

What prime factors do 100 and 100 share?

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

How does the GCF reduce the fraction 100/100?

Divide the numerator and the denominator by the GCF 100: 100 ÷ 100 = 1 and 100 ÷ 100 = 1. So 100/100 in lowest terms is 1/1.