GCF (HCF) of 24 and 25

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Greatest Common Factor of
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What is the Greatest Common Divisor of 24 and 25?

Answer

GCF (HCF) of 24 and 25 is
1

Common factors: 1

Only 1 divides both: 24 and 25 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 24 × 25 = 600.

24 = 23 × 3

25 = 52

Prime2425Lowest power
223——
33——
5—52—

— = 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
2493
24168
24186
24251
24262
24273
24284
24306
24328
24333
24342
24351
243612
24371
24382
24393
24408
24411
24426
24431
24444
24453
24462
244824
24502
24524
24531
24546
24568
246012

FAQ

What is the Greatest Common Divisor of 24 and 25?

GCF (HCF) of 24 and 25 is 1

How to find the GCF of 24 and 25?

You can find the GCF of 24 and 25 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 25 is 1.

What prime factors do 24 and 25 share?

24 and 25 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 24/25?

Divide the numerator and the denominator by the GCF 1: 24 ÷ 1 = 24 and 25 ÷ 1 = 25. So 24/25 in lowest terms is 24/25.

Are 24 and 25 coprime?

Yes, 24 and 25 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also