What is the Greatest Common Factor of 62658 and 62672?

Greatest common factor (GCF) of 62658 and 62672 is 2.

GCF(62658,62672) = 2

We will now calculate the prime factors of 62658 and 62672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62658 and 62672.

How to find the GCF of 62658 and 62672?

We will first find the prime factorization of 62658 and 62672. After we will calculate the factors of 62658 and 62672 and find the biggest common factor number .

Step-1: Prime Factorization of 62658

Prime factors of 62658 are 2, 3, 59. Prime factorization of 62658 in exponential form is:

62658 = 2¹ × 3² × 59²

Step-2: Prime Factorization of 62672

Prime factors of 62672 are 2, 3917. Prime factorization of 62672 in exponential form is:

62672 = 2⁴ × 3917¹

Step-3: Factors of 62658

List of positive integer factors of 62658 that divides 62658 without a remainder.

1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062, 3481, 6962, 10443, 20886, 31329

Step-4: Factors of 62672

List of positive integer factors of 62672 that divides 62658 without a remainder.

1, 2, 4, 8, 16, 3917, 7834, 15668, 31336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62658 and 62672. The biggest common factor number is the GCF number.
So the greatest common factor 62658 and 62672 is 2.

Also check out the Least Common Multiple of 62658 and 62672