What is the Greatest Common Factor of 79626 and 79642?

Greatest common factor (GCF) of 79626 and 79642 is 2.

GCF(79626,79642) = 2

We will now calculate the prime factors of 79626 and 79642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79626 and 79642.

How to find the GCF of 79626 and 79642?

We will first find the prime factorization of 79626 and 79642. After we will calculate the factors of 79626 and 79642 and find the biggest common factor number .

Step-1: Prime Factorization of 79626

Prime factors of 79626 are 2, 3, 23, 577. Prime factorization of 79626 in exponential form is:

79626 = 2¹ × 3¹ × 23¹ × 577¹

Step-2: Prime Factorization of 79642

Prime factors of 79642 are 2, 39821. Prime factorization of 79642 in exponential form is:

79642 = 2¹ × 39821¹

Step-3: Factors of 79626

List of positive integer factors of 79626 that divides 79626 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 577, 1154, 1731, 3462, 13271, 26542, 39813

Step-4: Factors of 79642

List of positive integer factors of 79642 that divides 79626 without a remainder.

1, 2, 39821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79626 and 79642. The biggest common factor number is the GCF number.
So the greatest common factor 79626 and 79642 is 2.

Also check out the Least Common Multiple of 79626 and 79642