What is the Greatest Common Factor of 79626 and 79634?

Greatest common factor (GCF) of 79626 and 79634 is 2.

GCF(79626,79634) = 2

We will now calculate the prime factors of 79626 and 79634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79626 and 79634.

How to find the GCF of 79626 and 79634?

We will first find the prime factorization of 79626 and 79634. After we will calculate the factors of 79626 and 79634 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 79634

Prime factors of 79634 are 2, 29, 1373. Prime factorization of 79634 in exponential form is:

79634 = 2¹ × 29¹ × 1373¹

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 79634

List of positive integer factors of 79634 that divides 79626 without a remainder.

1, 2, 29, 58, 1373, 2746, 39817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79626 and 79634. The biggest common factor number is the GCF number.
So the greatest common factor 79626 and 79634 is 2.

Also check out the Least Common Multiple of 79626 and 79634