GCF (HCF) of 1 and 100

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What is the Greatest Common Divisor of 1 and 100?

Answer

GCF (HCF) of 1 and 100 is
1

Common factors: 1

1 divides every number: the GCF with 1 is always 1, and the LCM is the other number itself — here 100.

1 — no prime factors

100 = 22 × 52

Prime1100Lowest power
2—22—
5—52—

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

GCF = 1

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GCF Table

Number 1Number 2GCF
111
141
151
161
171
181
191
1101
1121
1131
1161
1201
1271
1561
11001

FAQ

What is the Greatest Common Divisor of 1 and 100?

GCF (HCF) of 1 and 100 is 1

How to find the GCF of 1 and 100?

You can find the GCF of 1 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 1 and 100 is 1.

What prime factors do 1 and 100 share?

1 and 100 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 1/100?

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

Are 1 and 100 coprime?

Yes, 1 and 100 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also