GCF (HCF) of 121 and 144

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What is the Greatest Common Divisor of 121 and 144?

Answer

GCF (HCF) of 121 and 144 is
1

Common factors: 1

Only 1 divides both: 121 and 144 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 121 × 144 = 17,424.

121 = 112

144 = 24 × 32

Prime121144Lowest power
2—24—
3—32—
11112——

— = 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
1211291
1211301
1211311
12113211
1211331
1211341
1211351
1211361
1211371
1211381
1211391
1211401
1211411
1211421
12114311
1211441
1211451
1211461
1211471
1211481
1211491
1211501
1211511
1211521
1211531
12115411
1211551
1211561
1211571
1211581

FAQ

What is the Greatest Common Divisor of 121 and 144?

GCF (HCF) of 121 and 144 is 1

How to find the GCF of 121 and 144?

You can find the GCF of 121 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 121 and 144 is 1.

What prime factors do 121 and 144 share?

121 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 121/144?

Divide the numerator and the denominator by the GCF 1: 121 ÷ 1 = 121 and 144 ÷ 1 = 144. So 121/144 in lowest terms is 121/144.

Are 121 and 144 coprime?

Yes, 121 and 144 are coprime (relatively prime) because their Greatest Common Factor is 1.

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