GCF (HCF) of 135 and 165

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What is the Greatest Common Divisor of 135 and 165?

Answer

GCF (HCF) of 135 and 165 is
15

Common factors: 1, 3, 5, 15

15 divides both: 135 ÷ 15 = 9, 165 ÷ 15 = 11 — and 9 and 11 share no factor but 1, so no larger number divides both.

135 = 33 × 5

165 = 3 × 5 × 11

Prime135165Lowest power
33333
5555
11—11—

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

GCF = 3 × 5 = 15

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GCF Table

Number 1Number 2GCF
13515015
1351511
1351521
1351539
1351541
1351555
1351563
1351571
1351581
1351593
1351605
1351611
13516227
1351631
1351641
13516515
1351661
1351671
1351683
1351691
1351705
1351719
1351721
1351731
1351743
1351755
1351761
1351773
1351781
1351791

FAQ

What is the Greatest Common Divisor of 135 and 165?

GCF (HCF) of 135 and 165 is 15

How to find the GCF of 135 and 165?

You can find the GCF of 135 and 165 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 135 and 165 is 15.

What prime factors do 135 and 165 share?

The prime factorizations of 135 and 165 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 135/165?

Divide the numerator and the denominator by the GCF 15: 135 ÷ 15 = 9 and 165 ÷ 15 = 11. So 135/165 in lowest terms is 9/11.

See Also