GCF of 12 and 78 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 12 and 78?

Answer

GCF of 12 and 78 is
6

(Six)

Finding GCF for 12 and 78 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 78 is to list all factors for both numbers and pick the highest common one:

All factors of 12: 1, 2, 3, 4, 6, 12

All factors of 78: 1, 2, 3, 6, 13, 26, 39, 78

So the Greatest Common Factor for 12 and 78 is 6

Finding GCF for 12 and 78 by Prime Factorization

The second method to find GCF for numbers 12 and 78 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 12: 2, 2, 3

All Prime Factors of 78: 2, 3, 13

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

Now we need to multiply them to find GCF: 2 × 3 = 6

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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 12 and 78? (The answer is: 6). Select the first number (e.g. '12') and the second number (e.g. '78'). 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
12382
12393
12404
12411
12426
12431
12444
12453
124812
12491
12502
12524
12531
12546
12564
12591
126012
12666
12684
127212
12753
12764
12786
12804
128412
12884
121004
1210812
1218012
1230012

FAQ

What is the Greatest Common Divisor of 12 and 78?

GCF of 12 and 78 is 6

How to find the GCF of 12 and 78?

You can find the GCF of 12 and 78 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 78 is 6.

What prime factors do 12 and 78 share?

The prime factorizations of 12 and 78 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 12/78?

Divide the numerator and the denominator by the GCF 6: 12 ÷ 6 = 2 and 78 ÷ 6 = 13. So 12/78 in lowest terms is 2/13.

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