What is the Greatest Common Factor of 79634 and 79652?

Greatest common factor (GCF) of 79634 and 79652 is 2.

GCF(79634,79652) = 2

We will now calculate the prime factors of 79634 and 79652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79634 and 79652.

How to find the GCF of 79634 and 79652?

We will first find the prime factorization of 79634 and 79652. After we will calculate the factors of 79634 and 79652 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79652

Prime factors of 79652 are 2, 19913. Prime factorization of 79652 in exponential form is:

79652 = 2² × 19913¹

Step-3: Factors of 79634

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

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

Step-4: Factors of 79652

List of positive integer factors of 79652 that divides 79634 without a remainder.

1, 2, 4, 19913, 39826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79634 and 79652. The biggest common factor number is the GCF number.
So the greatest common factor 79634 and 79652 is 2.

Also check out the Least Common Multiple of 79634 and 79652