GCF (HCF) of 520 and 240

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What is the Greatest Common Divisor of 520 and 240?

Answer

GCF (HCF) of 520 and 240 is
40

Common factors: 1, 2, 4, 5, 8, 10, 20, 40

40 divides both: 520 ÷ 40 = 13, 240 ÷ 40 = 6 — and 13 and 6 share no factor but 1, so no larger number divides both.

520 = 23 × 5 × 13

240 = 24 × 3 × 5

Prime520240Lowest power
2232423
3—3—
5555
1313——

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

GCF = 23 × 5 = 40

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GCF Table

Number 1Number 2GCF
5202255
5202262
5202271
5202284
5202291
52023010
5202311
5202328
5202331
52023426
5202355
5202364
5202371
5202382
5202391
52024040
5202411
5202422
5202431
5202444
5202455
5202462
52024713
5202488
5202491
52025010
5202511
5202524
5202531
5202542

FAQ

What is the Greatest Common Divisor of 520 and 240?

GCF (HCF) of 520 and 240 is 40

How to find the GCF of 520 and 240?

You can find the GCF of 520 and 240 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 520 and 240 is 40.

What prime factors do 520 and 240 share?

The prime factorizations of 520 and 240 have 2 × 2 × 2 × 5 in common, and multiplying those shared primes gives 40 — exactly the greatest common factor.

How does the GCF reduce the fraction 520/240?

Divide the numerator and the denominator by the GCF 40: 520 ÷ 40 = 13 and 240 ÷ 40 = 6. So 520/240 in lowest terms is 13/6.

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