What is the Greatest Common Factor of 62974 and 62991?

Greatest common factor (GCF) of 62974 and 62991 is 1.

GCF(62974,62991) = 1

We will now calculate the prime factors of 62974 and 62991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62974 and 62991.

How to find the GCF of 62974 and 62991?

We will first find the prime factorization of 62974 and 62991. After we will calculate the factors of 62974 and 62991 and find the biggest common factor number .

Step-1: Prime Factorization of 62974

Prime factors of 62974 are 2, 23, 37. Prime factorization of 62974 in exponential form is:

62974 = 2¹ × 23¹ × 37²

Step-2: Prime Factorization of 62991

Prime factors of 62991 are 3, 2333. Prime factorization of 62991 in exponential form is:

62991 = 3³ × 2333¹

Step-3: Factors of 62974

List of positive integer factors of 62974 that divides 62974 without a remainder.

1, 2, 23, 37, 46, 74, 851, 1369, 1702, 2738, 31487

Step-4: Factors of 62991

List of positive integer factors of 62991 that divides 62974 without a remainder.

1, 3, 9, 27, 2333, 6999, 20997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62974 and 62991. The biggest common factor number is the GCF number.
So the greatest common factor 62974 and 62991 is 1.

Also check out the Least Common Multiple of 62974 and 62991