GCF (HCF) of 34 and 40

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What is the Greatest Common Divisor of 34 and 40?

Answer

GCF (HCF) of 34 and 40 is
2

Common factors: 1, 2

2 divides both: 34 ÷ 2 = 17, 40 ÷ 2 = 20 — and 17 and 20 share no factor but 1, so no larger number divides both.

34 = 2 × 17

40 = 23 × 5

Prime3440Lowest power
22232
5—5—
1717——

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

GCF = 2

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GCF Table

Number 1Number 2GCF
34351
34362
34371
34382
34391
34402
34411
34431
34442
34462
34482
34491
34502
345117
34522
34542
34551
34562
34571
34582
34591
34602
34631
346834
348517

FAQ

What is the Greatest Common Divisor of 34 and 40?

GCF (HCF) of 34 and 40 is 2

How to find the GCF of 34 and 40?

You can find the GCF of 34 and 40 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 34 and 40 is 2.

What prime factors do 34 and 40 share?

The prime factorizations of 34 and 40 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 34/40?

Divide the numerator and the denominator by the GCF 2: 34 ÷ 2 = 17 and 40 ÷ 2 = 20. So 34/40 in lowest terms is 17/20.

See Also