What is the Greatest Common Factor of 96645 and 96653?

Greatest common factor (GCF) of 96645 and 96653 is 1.

GCF(96645,96653) = 1

We will now calculate the prime factors of 96645 and 96653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96645 and 96653.

How to find the GCF of 96645 and 96653?

We will first find the prime factorization of 96645 and 96653. After we will calculate the factors of 96645 and 96653 and find the biggest common factor number .

Step-1: Prime Factorization of 96645

Prime factors of 96645 are 3, 5, 17, 379. Prime factorization of 96645 in exponential form is:

96645 = 3¹ × 5¹ × 17¹ × 379¹

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 96645

List of positive integer factors of 96645 that divides 96645 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 379, 1137, 1895, 5685, 6443, 19329, 32215

Step-4: Factors of 96653

List of positive integer factors of 96653 that divides 96645 without a remainder.

1, 19, 5087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96645 and 96653. The biggest common factor number is the GCF number.
So the greatest common factor 96645 and 96653 is 1.

Also check out the Least Common Multiple of 96645 and 96653