What is the Greatest Common Factor of 79634 and 79644?

Greatest common factor (GCF) of 79634 and 79644 is 2.

GCF(79634,79644) = 2

We will now calculate the prime factors of 79634 and 79644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79634 and 79644.

How to find the GCF of 79634 and 79644?

We will first find the prime factorization of 79634 and 79644. After we will calculate the factors of 79634 and 79644 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 79644

Prime factors of 79644 are 2, 3, 6637. Prime factorization of 79644 in exponential form is:

79644 = 2² × 3¹ × 6637¹

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 79644

List of positive integer factors of 79644 that divides 79634 without a remainder.

1, 2, 3, 4, 6, 12, 6637, 13274, 19911, 26548, 39822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79634 and 79644. The biggest common factor number is the GCF number.
So the greatest common factor 79634 and 79644 is 2.

Also check out the Least Common Multiple of 79634 and 79644