GCF (HCF) of 37 and 74

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What is the Greatest Common Divisor of 37 and 74?

Answer

GCF (HCF) of 37 and 74 is
37

Common factors: 1, 37

37 divides 74 (74 ÷ 37 = 2), so the GCF is the smaller number itself.

37 — prime

74 = 2 × 37

Prime3774Lowest power
2—2—
37373737

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

GCF = 37

See Also

FAQ

What is the Greatest Common Divisor of 37 and 74?

GCF (HCF) of 37 and 74 is 37

How to find the GCF of 37 and 74?

You can find the GCF of 37 and 74 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 37 and 74 is 37.

What prime factors do 37 and 74 share?

The prime factorizations of 37 and 74 have 37 in common, and multiplying those shared primes gives 37 — exactly the greatest common factor.

How does the GCF reduce the fraction 37/74?

Divide the numerator and the denominator by the GCF 37: 37 ÷ 37 = 1 and 74 ÷ 37 = 2. So 37/74 in lowest terms is 1/2.