What is the Greatest Common Factor of 92628 and 92642?

Greatest common factor (GCF) of 92628 and 92642 is 2.

GCF(92628,92642) = 2

We will now calculate the prime factors of 92628 and 92642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92628 and 92642.

How to find the GCF of 92628 and 92642?

We will first find the prime factorization of 92628 and 92642. After we will calculate the factors of 92628 and 92642 and find the biggest common factor number .

Step-1: Prime Factorization of 92628

Prime factors of 92628 are 2, 3, 31, 83. Prime factorization of 92628 in exponential form is:

92628 = 2² × 3² × 31¹ × 83¹

Step-2: Prime Factorization of 92642

Prime factors of 92642 are 2, 11, 4211. Prime factorization of 92642 in exponential form is:

92642 = 2¹ × 11¹ × 4211¹

Step-3: Factors of 92628

List of positive integer factors of 92628 that divides 92628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 83, 93, 124, 166, 186, 249, 279, 332, 372, 498, 558, 747, 996, 1116, 1494, 2573, 2988, 5146, 7719, 10292, 15438, 23157, 30876, 46314

Step-4: Factors of 92642

List of positive integer factors of 92642 that divides 92628 without a remainder.

1, 2, 11, 22, 4211, 8422, 46321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92628 and 92642. The biggest common factor number is the GCF number.
So the greatest common factor 92628 and 92642 is 2.

Also check out the Least Common Multiple of 92628 and 92642