GCF (HCF) of 124 and 152

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 124 and 152?

Answer

GCF (HCF) of 124 and 152 is
4

Common factors: 1, 2, 4

4 divides both: 124 ÷ 4 = 31, 152 ÷ 4 = 38 — and 31 and 38 share no factor but 1, so no larger number divides both.

124 = 22 × 31

152 = 23 × 19

Prime124152Lowest power
2222322
19—19—
3131——

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

GCF = 22 = 4

See Also

GCF Table

Number 1Number 2GCF
1241371
1241382
1241391
1241404
1241411
1241422
1241431
1241444
1241451
1241462
1241471
1241484
1241491
1241502
1241511
1241524
1241531
1241542
12415531
1241564
1241571
1241582
1241591
1241604
1241611
1241622
1241631
1241644
1241651
1241662

FAQ

What is the Greatest Common Divisor of 124 and 152?

GCF (HCF) of 124 and 152 is 4

How to find the GCF of 124 and 152?

You can find the GCF of 124 and 152 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 124 and 152 is 4.

What prime factors do 124 and 152 share?

The prime factorizations of 124 and 152 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 124/152?

Divide the numerator and the denominator by the GCF 4: 124 ÷ 4 = 31 and 152 ÷ 4 = 38. So 124/152 in lowest terms is 31/38.