GCF (HCF) of 99 and 165

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What is the Greatest Common Divisor of 99 and 165?

Answer

GCF (HCF) of 99 and 165 is
33

Common factors: 1, 3, 11, 33

33 divides both: 99 ÷ 33 = 3, 165 ÷ 33 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

99 = 32 × 11

165 = 3 × 5 × 11

Prime99165Lowest power
33233
5—5—
11111111

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

GCF = 3 × 11 = 33

See Also

GCF Table

Number 1Number 2GCF
991503
991511
991521
991539
9915411
991551
991563
991571
991581
991593
991601
991611
991629
991631
991641
9916533
991661
991671
991683
991691
991701
991719
991721
991731
991743
991751
9917611
991773
991781
991791

FAQ

What is the Greatest Common Divisor of 99 and 165?

GCF (HCF) of 99 and 165 is 33

How to find the GCF of 99 and 165?

You can find the GCF of 99 and 165 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 99 and 165 is 33.

What prime factors do 99 and 165 share?

The prime factorizations of 99 and 165 have 3 × 11 in common, and multiplying those shared primes gives 33 — exactly the greatest common factor.

How does the GCF reduce the fraction 99/165?

Divide the numerator and the denominator by the GCF 33: 99 ÷ 33 = 3 and 165 ÷ 33 = 5. So 99/165 in lowest terms is 3/5.