GCF for 588 and 252

What is the Greatest common Divisor of 588 and 252?

Answer: GCF of 588 and 252 is 84

(Eighty-four)

Finding GCF for 588 and 252 using all factors (divisors) listing

The first method to find GCF for numbers 588 and 252 is to list all factors for both numbers and pick the highest common one:

All factors of 588: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

All factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

So the Greatest Common Factor for 588 and 252 is 84

Finding GCF for 588 and 252 by Prime Factorization

The second method to find GCF for numbers 588 and 252 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 588: 2, 2, 3, 7, 7

All Prime Factors of 252: 2, 2, 3, 3, 7

As we can see there are Prime Factors common to both numbers: 2, 2, 3, 7

Now we need to multiply them to find GCF: 2 × 2 × 3 × 7 = 84

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 588 and 252? (The answer is: 84). Select the first number (e.g. '588') and the second number (e.g. '252'). 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
5732523
57425214
5752521
57625236
5772521
5782522
5792523
5802524
5812527
5822526
5832521
5842524
5852529
5862522
5872521
588252
5892521
5902522
5912523
5922524
5932521
59425218
5952527
5962524
5972523
5982522
5992521
60025212
6012521
60225214

FAQ

What is the Greatest common Divisor of 588 and 252?

GCF of 588 and 252 is 84