What is the Greatest Common Factor of 96634 and 96653?

Greatest common factor (GCF) of 96634 and 96653 is 19.

GCF(96634,96653) = 19

We will now calculate the prime factors of 96634 and 96653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96634 and 96653.

How to find the GCF of 96634 and 96653?

We will first find the prime factorization of 96634 and 96653. After we will calculate the factors of 96634 and 96653 and find the biggest common factor number .

Step-1: Prime Factorization of 96634

Prime factors of 96634 are 2, 19, 2543. Prime factorization of 96634 in exponential form is:

96634 = 2¹ × 19¹ × 2543¹

Step-2: Prime Factorization of 96653

Prime factors of 96653 are 19, 5087. Prime factorization of 96653 in exponential form is:

96653 = 19¹ × 5087¹

Step-3: Factors of 96634

List of positive integer factors of 96634 that divides 96634 without a remainder.

1, 2, 19, 38, 2543, 5086, 48317

Step-4: Factors of 96653

List of positive integer factors of 96653 that divides 96634 without a remainder.

1, 19, 5087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96634 and 96653. The biggest common factor number is the GCF number.
So the greatest common factor 96634 and 96653 is 19.

Also check out the Least Common Multiple of 96634 and 96653