GCF (HCF) of 126 and 168

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 126 and 168?

Answer

GCF (HCF) of 126 and 168 is
42

Common factors: 1, 2, 3, 6, 7, 14, 21, 42

42 divides both: 126 ÷ 42 = 3, 168 ÷ 42 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

126 = 2 × 32 × 7

168 = 23 × 3 × 7

Prime126168Lowest power
22232
33233
7777

GCF = 2 × 3 × 7 = 42

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
1261539
12615414
1261551
1261566
1261571
1261582
1261593
1261602
1261617
12616218
1261631
1261642
1261653
1261662
1261671
12616842
1261691
1261702
1261719
1261722
1261731
1261746
1261757
1261762
1261773
1261782
1261791
12618018
1261811
12618214

FAQ

What is the Greatest Common Divisor of 126 and 168?

GCF (HCF) of 126 and 168 is 42

How to find the GCF of 126 and 168?

You can find the GCF of 126 and 168 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 126 and 168 is 42.

What prime factors do 126 and 168 share?

The prime factorizations of 126 and 168 have 2 × 3 × 7 in common, and multiplying those shared primes gives 42 — exactly the greatest common factor.

How does the GCF reduce the fraction 126/168?

Divide the numerator and the denominator by the GCF 42: 126 ÷ 42 = 3 and 168 ÷ 42 = 4. So 126/168 in lowest terms is 3/4.

See Also