What is the Greatest Common Factor of 36725 and 36735?

Greatest common factor (GCF) of 36725 and 36735 is 5.

GCF(36725,36735) = 5

We will now calculate the prime factors of 36725 and 36735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36725 and 36735.

How to find the GCF of 36725 and 36735?

We will first find the prime factorization of 36725 and 36735. After we will calculate the factors of 36725 and 36735 and find the biggest common factor number .

Step-1: Prime Factorization of 36725

Prime factors of 36725 are 5, 13, 113. Prime factorization of 36725 in exponential form is:

36725 = 5² × 13¹ × 113¹

Step-2: Prime Factorization of 36735

Prime factors of 36735 are 3, 5, 31, 79. Prime factorization of 36735 in exponential form is:

36735 = 3¹ × 5¹ × 31¹ × 79¹

Step-3: Factors of 36725

List of positive integer factors of 36725 that divides 36725 without a remainder.

1, 5, 13, 25, 65, 113, 325, 565, 1469, 2825, 7345

Step-4: Factors of 36735

List of positive integer factors of 36735 that divides 36725 without a remainder.

1, 3, 5, 15, 31, 79, 93, 155, 237, 395, 465, 1185, 2449, 7347, 12245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36725 and 36735. The biggest common factor number is the GCF number.
So the greatest common factor 36725 and 36735 is 5.

Also check out the Least Common Multiple of 36725 and 36735