GCF (HCF) of 7 and 24

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What is the Greatest Common Divisor of 7 and 24?

Answer

GCF (HCF) of 7 and 24 is
1

Common factors: 1

Only 1 divides both: 7 and 24 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 7 × 24 = 168.

7 — prime

24 = 23 × 3

Prime724Lowest power
2—23—
3—3—
77——

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

GCF = 1

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GCF Table

Number 1Number 2GCF
741
751
781
791
7101
7111
7121
7131
7147
7151
7161
7171
7181
7191
7201
7217
7241
7251
7287
7301
7357
7361
7427
7431
7461
7497
7511
7567
7637
71057

FAQ

What is the Greatest Common Divisor of 7 and 24?

GCF (HCF) of 7 and 24 is 1

How to find the GCF of 7 and 24?

You can find the GCF of 7 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 7 and 24 is 1.

What prime factors do 7 and 24 share?

7 and 24 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 7/24?

Divide the numerator and the denominator by the GCF 1: 7 ÷ 1 = 7 and 24 ÷ 1 = 24. So 7/24 in lowest terms is 7/24.

Are 7 and 24 coprime?

Yes, 7 and 24 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also