GCF (HCF) of 35 and 72

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What is the Greatest Common Divisor of 35 and 72?

Answer

GCF (HCF) of 35 and 72 is
1

Common factors: 1

Only 1 divides both: 35 and 72 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 35 × 72 = 2,520.

35 = 5 × 7

72 = 23 × 32

Prime3572Lowest power
2—23—
3—32—
55——
77——

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

GCF = 1

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GCF Table

Number 1Number 2GCF
35181
35361
35391
35405
35411
35427
35431
35441
35455
35461
35471
35481
35497
35505
35521
35541
35555
35567
35571
35605
35637
35655
357035
35721
35755
35777
35847
351005
3510535
351505

FAQ

What is the Greatest Common Divisor of 35 and 72?

GCF (HCF) of 35 and 72 is 1

How to find the GCF of 35 and 72?

You can find the GCF of 35 and 72 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 35 and 72 is 1.

What prime factors do 35 and 72 share?

35 and 72 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 35/72?

Divide the numerator and the denominator by the GCF 1: 35 ÷ 1 = 35 and 72 ÷ 1 = 72. So 35/72 in lowest terms is 35/72.

Are 35 and 72 coprime?

Yes, 35 and 72 are coprime (relatively prime) because their Greatest Common Factor is 1.

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