GCF (HCF) of 25 and 42

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What is the Greatest Common Divisor of 25 and 42?

Answer

GCF (HCF) of 25 and 42 is
1

Common factors: 1

Only 1 divides both: 25 and 42 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 25 × 42 = 1,050.

25 = 52

42 = 2 × 3 × 7

Prime2542Lowest power
2—2—
3—3—
552——
7—7—

— = 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
25105
25155
25205
25261
25281
25305
25311
25321
25331
25355
25361
25391
25405
25421
25441
25455
25481
25491
255025
25555
25561
25605
25641
25655
25705
257525
25805
25811
25905
2510025

FAQ

What is the Greatest Common Divisor of 25 and 42?

GCF (HCF) of 25 and 42 is 1

How to find the GCF of 25 and 42?

You can find the GCF of 25 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 25 and 42 is 1.

What prime factors do 25 and 42 share?

25 and 42 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 25/42?

Divide the numerator and the denominator by the GCF 1: 25 ÷ 1 = 25 and 42 ÷ 1 = 42. So 25/42 in lowest terms is 25/42.

Are 25 and 42 coprime?

Yes, 25 and 42 are coprime (relatively prime) because their Greatest Common Factor is 1.

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