GCF (HCF) of 25 and 144

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What is the Greatest Common Divisor of 25 and 144?

Answer

GCF (HCF) of 25 and 144 is
1

Common factors: 1

Only 1 divides both: 25 and 144 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 25 × 144 = 3,600.

25 = 52

144 = 24 × 32

Prime25144Lowest power
2—24—
3—32—
552——

— = 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
25321
25331
25355
25361
25391
25405
25421
25441
25455
25481
25491
255025
25555
25561
25605
25641
25655
25705
257525
25805
25811
25905
2510025
251055
251211
2512525
251441
2515025
2517525
2520025

FAQ

What is the Greatest Common Divisor of 25 and 144?

GCF (HCF) of 25 and 144 is 1

How to find the GCF of 25 and 144?

You can find the GCF of 25 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 25 and 144 is 1.

What prime factors do 25 and 144 share?

25 and 144 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 25/144?

Divide the numerator and the denominator by the GCF 1: 25 ÷ 1 = 25 and 144 ÷ 1 = 144. So 25/144 in lowest terms is 25/144.

Are 25 and 144 coprime?

Yes, 25 and 144 are coprime (relatively prime) because their Greatest Common Factor is 1.

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