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GCF of 156 and 364 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 156 and 364?

Answer

GCF of 156 and 364 is 52

(Fifty-two)

Finding GCF for 156 and 364 using all factors (divisors) listing

The first method to find GCF for numbers 156 and 364 is to list all factors for both numbers and pick the highest common one:

All factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

All factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

So the Greatest Common Factor for 156 and 364 is 52

Finding GCF for 156 and 364 by Prime Factorization

The second method to find GCF for numbers 156 and 364 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 156: 2, 2, 3, 13

All Prime Factors of 364: 2, 2, 7, 13

As we can see there are Prime Factors common to both numbers: 2, 2, 13

Now we need to multiply them to find GCF: 2 × 2 × 13 = 52

See Also

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What is the GCF of 156 and 364. The GCF of 156 and 364 is 52 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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GCF Table

Number 1Number 2GCF
1563491
1563502
15635139
1563524
1563531
1563546
1563551
1563564
1563573
1563582
1563591
15636012
1563611
1563622
1563633
15636452
1563651
1563666
1563671
1563684
1563693
1563702
1563711
15637212
1563731
1563742
1563753
1563764
15637713
1563786

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 156 and 364? (The answer is: 52). Select the first number (e.g. '156') and the second number (e.g. '364'). 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