What is the Greatest Common Factor of 38628 and 38642?

Greatest common factor (GCF) of 38628 and 38642 is 2.

GCF(38628,38642) = 2

We will now calculate the prime factors of 38628 and 38642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38628 and 38642.

How to find the GCF of 38628 and 38642?

We will first find the prime factorization of 38628 and 38642. After we will calculate the factors of 38628 and 38642 and find the biggest common factor number .

Step-1: Prime Factorization of 38628

Prime factors of 38628 are 2, 3, 29, 37. Prime factorization of 38628 in exponential form is:

38628 = 2² × 3² × 29¹ × 37¹

Step-2: Prime Factorization of 38642

Prime factors of 38642 are 2, 139. Prime factorization of 38642 in exponential form is:

38642 = 2¹ × 139²

Step-3: Factors of 38628

List of positive integer factors of 38628 that divides 38628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 37, 58, 74, 87, 111, 116, 148, 174, 222, 261, 333, 348, 444, 522, 666, 1044, 1073, 1332, 2146, 3219, 4292, 6438, 9657, 12876, 19314

Step-4: Factors of 38642

List of positive integer factors of 38642 that divides 38628 without a remainder.

1, 2, 139, 278, 19321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38628 and 38642. The biggest common factor number is the GCF number.
So the greatest common factor 38628 and 38642 is 2.

Also check out the Least Common Multiple of 38628 and 38642