GCF (HCF) of 336 and 56

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What is the Greatest Common Divisor of 336 and 56?

Answer

GCF (HCF) of 336 and 56 is
56

Common factors: 1, 2, 4, 7, 8, 14, 28, 56

56 divides 336 (336 ÷ 56 = 6), so the GCF is the smaller number itself.

336 = 24 × 3 × 7

56 = 23 × 7

Prime33656Lowest power
2242323
33——
7777

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

GCF = 23 × 7 = 56

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GCF Table

Number 1Number 2GCF
336411
3364242
336431
336444
336453
336462
336471
3364848
336497
336502
336513
336524
336531
336546
336551
3365656
336573
336582
336591
3366012
336611
336622
3366321
3366416
336651
336666
336671
336684
336693
3367014

FAQ

What is the Greatest Common Divisor of 336 and 56?

GCF (HCF) of 336 and 56 is 56

How to find the GCF of 336 and 56?

You can find the GCF of 336 and 56 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 336 and 56 is 56.

What prime factors do 336 and 56 share?

The prime factorizations of 336 and 56 have 2 × 2 × 2 × 7 in common, and multiplying those shared primes gives 56 — exactly the greatest common factor.

How does the GCF reduce the fraction 336/56?

Divide the numerator and the denominator by the GCF 56: 336 ÷ 56 = 6 and 56 ÷ 56 = 1. So 336/56 in lowest terms is 6/1.

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