GCF of 588 and 252 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

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

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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 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.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

GCF Table

Number 1Number 2GCF
5882373
58823814
5882391
58824012
5882411
5882422
5882433
5882444
58824549
5882466
5882471
5882484
5882493
5882502
5882511
58825284
5882531
5882542
5882553
5882564
5882571
5882586
5882597
5882604
5882613
5882622
5882631
58826412
5882651
58826614

FAQ

What is the Greatest Common Divisor of 588 and 252?

GCF of 588 and 252 is 84

How to find the GCF of 588 and 252?

You can find the GCF of 588 and 252 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 588 and 252 is 84.

What prime factors do 588 and 252 share?

The prime factorizations of 588 and 252 have 2 × 2 × 3 × 7 in common, and multiplying those shared primes gives 84 — exactly the greatest common factor.

How does the GCF reduce the fraction 588/252?

Divide the numerator and the denominator by the GCF 84: 588 ÷ 84 = 7 and 252 ÷ 84 = 3. So 588/252 in lowest terms is 7/3.

See Also