What is the Greatest Common Factor of 39628 and 39642?

Greatest common factor (GCF) of 39628 and 39642 is 2.

GCF(39628,39642) = 2

We will now calculate the prime factors of 39628 and 39642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39628 and 39642.

How to find the GCF of 39628 and 39642?

We will first find the prime factorization of 39628 and 39642. After we will calculate the factors of 39628 and 39642 and find the biggest common factor number .

Step-1: Prime Factorization of 39628

Prime factors of 39628 are 2, 9907. Prime factorization of 39628 in exponential form is:

39628 = 2² × 9907¹

Step-2: Prime Factorization of 39642

Prime factors of 39642 are 2, 3, 6607. Prime factorization of 39642 in exponential form is:

39642 = 2¹ × 3¹ × 6607¹

Step-3: Factors of 39628

List of positive integer factors of 39628 that divides 39628 without a remainder.

1, 2, 4, 9907, 19814

Step-4: Factors of 39642

List of positive integer factors of 39642 that divides 39628 without a remainder.

1, 2, 3, 6, 6607, 13214, 19821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39628 and 39642. The biggest common factor number is the GCF number.
So the greatest common factor 39628 and 39642 is 2.

Also check out the Least Common Multiple of 39628 and 39642