GCF (HCF) of 2 and 49

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What is the Greatest Common Divisor of 2 and 49?

Answer

GCF (HCF) of 2 and 49 is
1

Common factors: 1

Only 1 divides both: 2 and 49 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 2 × 49 = 98.

2 — prime

49 = 72

Prime249Lowest power
22——
7—72—

— = 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 2 and 49?

GCF (HCF) of 2 and 49 is 1

How to find the GCF of 2 and 49?

You can find the GCF of 2 and 49 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 2 and 49 is 1.

What prime factors do 2 and 49 share?

2 and 49 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 2/49?

Divide the numerator and the denominator by the GCF 1: 2 ÷ 1 = 2 and 49 ÷ 1 = 49. So 2/49 in lowest terms is 2/49.

Are 2 and 49 coprime?

Yes, 2 and 49 are coprime (relatively prime) because their Greatest Common Factor is 1.