What is the Greatest Common Factor of 76725 and 76735?

Greatest common factor (GCF) of 76725 and 76735 is 5.

GCF(76725,76735) = 5

We will now calculate the prime factors of 76725 and 76735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76725 and 76735.

How to find the GCF of 76725 and 76735?

We will first find the prime factorization of 76725 and 76735. After we will calculate the factors of 76725 and 76735 and find the biggest common factor number .

Step-1: Prime Factorization of 76725

Prime factors of 76725 are 3, 5, 11, 31. Prime factorization of 76725 in exponential form is:

76725 = 3² × 5² × 11¹ × 31¹

Step-2: Prime Factorization of 76735

Prime factors of 76735 are 5, 103, 149. Prime factorization of 76735 in exponential form is:

76735 = 5¹ × 103¹ × 149¹

Step-3: Factors of 76725

List of positive integer factors of 76725 that divides 76725 without a remainder.

1, 3, 5, 9, 11, 15, 25, 31, 33, 45, 55, 75, 93, 99, 155, 165, 225, 275, 279, 341, 465, 495, 775, 825, 1023, 1395, 1705, 2325, 2475, 3069, 5115, 6975, 8525, 15345, 25575

Step-4: Factors of 76735

List of positive integer factors of 76735 that divides 76725 without a remainder.

1, 5, 103, 149, 515, 745, 15347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76725 and 76735. The biggest common factor number is the GCF number.
So the greatest common factor 76725 and 76735 is 5.

Also check out the Least Common Multiple of 76725 and 76735