What is the Greatest Common Factor of 62646 and 62658?

Greatest common factor (GCF) of 62646 and 62658 is 6.

GCF(62646,62658) = 6

We will now calculate the prime factors of 62646 and 62658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62646 and 62658.

How to find the GCF of 62646 and 62658?

We will first find the prime factorization of 62646 and 62658. After we will calculate the factors of 62646 and 62658 and find the biggest common factor number .

Step-1: Prime Factorization of 62646

Prime factors of 62646 are 2, 3, 53, 197. Prime factorization of 62646 in exponential form is:

62646 = 2¹ × 3¹ × 53¹ × 197¹

Step-2: 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-3: Factors of 62646

List of positive integer factors of 62646 that divides 62646 without a remainder.

1, 2, 3, 6, 53, 106, 159, 197, 318, 394, 591, 1182, 10441, 20882, 31323

Step-4: Factors of 62658

List of positive integer factors of 62658 that divides 62646 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62646 and 62658. The biggest common factor number is the GCF number.
So the greatest common factor 62646 and 62658 is 6.

Also check out the Least Common Multiple of 62646 and 62658