GCF (HCF) of 588 and 252

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What is the Greatest Common Divisor of 588 and 252?

Answer

GCF (HCF) of 588 and 252 is
84

Common factors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

84 divides both: 588 ÷ 84 = 7, 252 ÷ 84 = 3 — and 7 and 3 share no factor but 1, so no larger number divides both.

588 = 22 × 3 × 72

252 = 22 × 32 × 7

Prime588252Lowest power
2222222
33323
77277

GCF = 22 × 3 × 7 = 84

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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 (HCF) 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.

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