GCF (HCF) of 36 and 121

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What is the Greatest Common Divisor of 36 and 121?

Answer

GCF (HCF) of 36 and 121 is
1

Common factors: 1

Only 1 divides both: 36 and 121 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 36 × 121 = 4,356.

36 = 22 × 32

121 = 112

Prime36121Lowest power
222——
332——
11—112—

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

GCF = 1

See Also

FAQ

What is the Greatest Common Divisor of 36 and 121?

GCF (HCF) of 36 and 121 is 1

How to find the GCF of 36 and 121?

You can find the GCF of 36 and 121 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 36 and 121 is 1.

What prime factors do 36 and 121 share?

36 and 121 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 36/121?

Divide the numerator and the denominator by the GCF 1: 36 ÷ 1 = 36 and 121 ÷ 1 = 121. So 36/121 in lowest terms is 36/121.

Are 36 and 121 coprime?

Yes, 36 and 121 are coprime (relatively prime) because their Greatest Common Factor is 1.