GCF (HCF) of 168 and 252

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What is the Greatest Common Divisor of 168 and 252?

Answer

GCF (HCF) of 168 and 252 is
84

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

84 divides both: 168 ÷ 84 = 2, 252 ÷ 84 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

168 = 23 × 3 × 7

252 = 22 × 32 × 7

Prime168252Lowest power
2232222
33323
7777

GCF = 22 × 3 × 7 = 84

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GCF Table

Number 1Number 2GCF
1682373
16823814
1682391
16824024
1682411
1682422
1682433
1682444
1682457
1682466
1682471
1682488
1682493
1682502
1682511
16825284
1682531
1682542
1682553
1682568
1682571
1682586
1682597
1682604
1682613
1682622
1682631
16826424
1682651
16826614

FAQ

What is the Greatest Common Divisor of 168 and 252?

GCF (HCF) of 168 and 252 is 84

How to find the GCF of 168 and 252?

You can find the GCF of 168 and 252 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 168 and 252 is 84.

What prime factors do 168 and 252 share?

The prime factorizations of 168 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 168/252?

Divide the numerator and the denominator by the GCF 84: 168 ÷ 84 = 2 and 252 ÷ 84 = 3. So 168/252 in lowest terms is 2/3.

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