What is the Greatest Common Factor of 96725 and 96735?

Greatest common factor (GCF) of 96725 and 96735 is 5.

GCF(96725,96735) = 5

We will now calculate the prime factors of 96725 and 96735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96725 and 96735.

How to find the GCF of 96725 and 96735?

We will first find the prime factorization of 96725 and 96735. After we will calculate the factors of 96725 and 96735 and find the biggest common factor number .

Step-1: Prime Factorization of 96725

Prime factors of 96725 are 5, 53, 73. Prime factorization of 96725 in exponential form is:

96725 = 5² × 53¹ × 73¹

Step-2: Prime Factorization of 96735

Prime factors of 96735 are 3, 5, 6449. Prime factorization of 96735 in exponential form is:

96735 = 3¹ × 5¹ × 6449¹

Step-3: Factors of 96725

List of positive integer factors of 96725 that divides 96725 without a remainder.

1, 5, 25, 53, 73, 265, 365, 1325, 1825, 3869, 19345

Step-4: Factors of 96735

List of positive integer factors of 96735 that divides 96725 without a remainder.

1, 3, 5, 15, 6449, 19347, 32245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96725 and 96735. The biggest common factor number is the GCF number.
So the greatest common factor 96725 and 96735 is 5.

Also check out the Least Common Multiple of 96725 and 96735