GCF of 168 and 180 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 168 and 180?

Answer

GCF of 168 and 180 is
12

(Twelve)

Finding GCF for 168 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 168 and 180 is to list all factors for both numbers and pick the highest common one:

All factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

All factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

So the Greatest Common Factor for 168 and 180 is 12

Finding GCF for 168 and 180 by Prime Factorization

The second method to find GCF for numbers 168 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 168: 2, 2, 2, 3, 7

All Prime Factors of 180: 2, 2, 3, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 2, 3

Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 168 and 180? (The answer is: 12). Select the first number (e.g. '168') and the second number (e.g. '180'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

GCF Table

Number 1Number 2GCF
1681653
1681662
1681671
168168168
1681691
1681702
1681713
1681724
1681731
1681746
1681757
1681768
1681773
1681782
1681791
16818012
1681811
16818214
1681833
1681848
1681851
1681866
1681871
1681884
16818921
1681902
1681911
16819224
1681931
1681942

FAQ

What is the Greatest Common Divisor of 168 and 180?

GCF of 168 and 180 is 12

How to find the GCF of 168 and 180?

You can find the GCF of 168 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 168 and 180 is 12.

What prime factors do 168 and 180 share?

The prime factorizations of 168 and 180 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 168/180?

Divide the numerator and the denominator by the GCF 12: 168 ÷ 12 = 14 and 180 ÷ 12 = 15. So 168/180 in lowest terms is 14/15.

See Also