GCF (HCF) of 49 and 63

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Greatest Common Factor of
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What is the Greatest Common Divisor of 49 and 63?

Answer

GCF (HCF) of 49 and 63 is
7

Common factors: 1, 7

7 divides both: 49 ÷ 7 = 7, 63 ÷ 7 = 9 — and 7 and 9 share no factor but 1, so no larger number divides both.

49 = 72

63 = 32 × 7

Prime4963Lowest power
3—32—
77277

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

GCF = 7

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GCF Table

Number 1Number 2GCF
49481
494949
49501
49511
49521
49531
49541
49551
49567
49571
49581
49591
49601
49611
49621
49637
49641
49651
49661
49671
49681
49691
49707
49711
49721
49731
49741
49751
49761
49777

FAQ

What is the Greatest Common Divisor of 49 and 63?

GCF (HCF) of 49 and 63 is 7

How to find the GCF of 49 and 63?

You can find the GCF of 49 and 63 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 49 and 63 is 7.

What prime factors do 49 and 63 share?

The prime factorizations of 49 and 63 have 7 in common, and multiplying those shared primes gives 7 — exactly the greatest common factor.

How does the GCF reduce the fraction 49/63?

Divide the numerator and the denominator by the GCF 7: 49 ÷ 7 = 7 and 63 ÷ 7 = 9. So 49/63 in lowest terms is 7/9.

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