GCF (HCF) of 35 and 105

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What is the Greatest Common Divisor of 35 and 105?

Answer

GCF (HCF) of 35 and 105 is
35

Common factors: 1, 5, 7, 35

35 divides 105 (105 ÷ 35 = 3), so the GCF is the smaller number itself.

35 = 5 × 7

105 = 3 × 5 × 7

Prime35105Lowest power
3—3—
5555
7777

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

GCF = 5 × 7 = 35

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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 105?

GCF (HCF) of 35 and 105 is 35

How to find the GCF of 35 and 105?

You can find the GCF of 35 and 105 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 35 and 105 is 35.

What prime factors do 35 and 105 share?

The prime factorizations of 35 and 105 have 5 × 7 in common, and multiplying those shared primes gives 35 — exactly the greatest common factor.

How does the GCF reduce the fraction 35/105?

Divide the numerator and the denominator by the GCF 35: 35 ÷ 35 = 1 and 105 ÷ 35 = 3. So 35/105 in lowest terms is 1/3.

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