GCF for 156 and 364

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

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

GCF Table

Number 1Number 2GCF
1413641
1423642
14336413
1443644
1453641
1463642
1473647
1483644
1493641
1503642
1513641
1523644
1533641
15436414
1553641
156364
1573641
1583642
1593641
1603644
1613647
1623642
1633641
1643644
1653641
1663642
1673641
16836428
16936413
1703642

FAQ

What is the Greatest common Divisor of 156 and 364?

GCF of 156 and 364 is 52