GCF (HCF) of 100 and 260

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What is the Greatest Common Divisor of 100 and 260?

Answer

GCF (HCF) of 100 and 260 is
20

Common factors: 1, 2, 4, 5, 10, 20

20 divides both: 100 ÷ 20 = 5, 260 ÷ 20 = 13 — and 5 and 13 share no factor but 1, so no larger number divides both.

100 = 22 × 52

260 = 22 × 5 × 13

Prime100260Lowest power
2222222
55255
13—13—

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

GCF = 22 × 5 = 20

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GCF Table

Number 1Number 2GCF
10015050
10016020
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

FAQ

What is the Greatest Common Divisor of 100 and 260?

GCF (HCF) of 100 and 260 is 20

How to find the GCF of 100 and 260?

You can find the GCF of 100 and 260 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 100 and 260 is 20.

What prime factors do 100 and 260 share?

The prime factorizations of 100 and 260 have 2 × 2 × 5 in common, and multiplying those shared primes gives 20 — exactly the greatest common factor.

How does the GCF reduce the fraction 100/260?

Divide the numerator and the denominator by the GCF 20: 100 ÷ 20 = 5 and 260 ÷ 20 = 13. So 100/260 in lowest terms is 5/13.

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