What is the Greatest Common Factor of 62966 and 62974?

Greatest common factor (GCF) of 62966 and 62974 is 2.

GCF(62966,62974) = 2

We will now calculate the prime factors of 62966 and 62974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62966 and 62974.

How to find the GCF of 62966 and 62974?

We will first find the prime factorization of 62966 and 62974. After we will calculate the factors of 62966 and 62974 and find the biggest common factor number .

Step-1: Prime Factorization of 62966

Prime factors of 62966 are 2, 19, 1657. Prime factorization of 62966 in exponential form is:

62966 = 2¹ × 19¹ × 1657¹

Step-2: 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-3: Factors of 62966

List of positive integer factors of 62966 that divides 62966 without a remainder.

1, 2, 19, 38, 1657, 3314, 31483

Step-4: Factors of 62974

List of positive integer factors of 62974 that divides 62966 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62966 and 62974. The biggest common factor number is the GCF number.
So the greatest common factor 62966 and 62974 is 2.

Also check out the Least Common Multiple of 62966 and 62974