GCF (HCF) of 104 and 130

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What is the Greatest Common Divisor of 104 and 130?

Answer

GCF (HCF) of 104 and 130 is
26

Common factors: 1, 2, 13, 26

26 divides both: 104 ÷ 26 = 4, 130 ÷ 26 = 5 — and 4 and 5 share no factor but 1, so no larger number divides both.

104 = 23 × 13

130 = 2 × 5 × 13

Prime104130Lowest power
22322
5—5—
13131313

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

GCF = 2 × 13 = 26

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GCF Table

Number 1Number 2GCF
1041151
1041164
10411713
1041182
1041191
1041208
1041211
1041222
1041231
1041244
1041251
1041262
1041271
1041288
1041291
10413026
1041311
1041324
1041331
1041342
1041351
1041368
1041371
1041382
1041391
1041404
1041411
1041422
10414313
1041448

FAQ

What is the Greatest Common Divisor of 104 and 130?

GCF (HCF) of 104 and 130 is 26

How to find the GCF of 104 and 130?

You can find the GCF of 104 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 104 and 130 is 26.

What prime factors do 104 and 130 share?

The prime factorizations of 104 and 130 have 2 × 13 in common, and multiplying those shared primes gives 26 — exactly the greatest common factor.

How does the GCF reduce the fraction 104/130?

Divide the numerator and the denominator by the GCF 26: 104 ÷ 26 = 4 and 130 ÷ 26 = 5. So 104/130 in lowest terms is 4/5.

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