GCF (HCF) of 648 and 1029

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What is the Greatest Common Divisor of 648 and 1,029?

Answer

GCF (HCF) of 648 and 1,029 is
3

Common factors: 1, 3

3 divides both: 648 ÷ 3 = 216; 1,029 ÷ 3 = 343 — and 216 and 343 share no factor but 1, so no larger number divides both.

648 = 23 × 34

1,029 = 3 × 73

Prime6481,029Lowest power
223——
33433
7—73—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 3

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GCF Table

Number 1Number 2GCF
6481,0146
6481,0151
6481,0168
6481,0179
6481,0182
6481,0191
6481,02012
6481,0211
6481,0222
6481,0233
6481,0248
6481,0251
6481,02654
6481,0271
6481,0284
6481,0293
6481,0302
6481,0311
6481,03224
6481,0331
6481,0342
6481,0359
6481,0364
6481,0371
6481,0386
6481,0391
6481,0408
6481,0413
6481,0422
6481,0431

FAQ

What is the Greatest Common Divisor of 648 and 1,029?

GCF (HCF) of 648 and 1,029 is 3

How to find the GCF of 648 and 1,029?

You can find the GCF of 648 and 1,029 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 648 and 1,029 is 3.

What prime factors do 648 and 1,029 share?

The prime factorizations of 648 and 1,029 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 648/1029?

Divide the numerator and the denominator by the GCF 3: 648 ÷ 3 = 216 and 1,029 ÷ 3 = 343. So 648/1029 in lowest terms is 216/343.

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