GCF (HCF) of 100 and 275

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What is the Greatest Common Divisor of 100 and 275?

Answer

GCF (HCF) of 100 and 275 is
25

Common factors: 1, 5, 25

25 divides both: 100 ÷ 25 = 4, 275 ÷ 25 = 11 — and 4 and 11 share no factor but 1, so no larger number divides both.

100 = 22 × 52

275 = 52 × 11

Prime100275Lowest power
222——
5525252
11—11—

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

GCF = 52 = 25

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GCF Table

Number 1Number 2GCF
1001655
10017010
10018020
1001855
10019010
100200100
1002055
10022020
10023010
1002355
10024020
1002455
10025050
10026020
10027010
10027525
10028020
10029010
100300100
1003055
10031010
1003155
1003355
1003455
10035050
1003555
10036020
10037010
10037525
10038020

FAQ

What is the Greatest Common Divisor of 100 and 275?

GCF (HCF) of 100 and 275 is 25

How to find the GCF of 100 and 275?

You can find the GCF of 100 and 275 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 100 and 275 is 25.

What prime factors do 100 and 275 share?

The prime factorizations of 100 and 275 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 100/275?

Divide the numerator and the denominator by the GCF 25: 100 ÷ 25 = 4 and 275 ÷ 25 = 11. So 100/275 in lowest terms is 4/11.

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