What is the Greatest Common Factor of 82716 and 82725?

Greatest common factor (GCF) of 82716 and 82725 is 3.

GCF(82716,82725) = 3

We will now calculate the prime factors of 82716 and 82725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82716 and 82725.

How to find the GCF of 82716 and 82725?

We will first find the prime factorization of 82716 and 82725. After we will calculate the factors of 82716 and 82725 and find the biggest common factor number .

Step-1: Prime Factorization of 82716

Prime factors of 82716 are 2, 3, 61, 113. Prime factorization of 82716 in exponential form is:

82716 = 2² × 3¹ × 61¹ × 113¹

Step-2: Prime Factorization of 82725

Prime factors of 82725 are 3, 5, 1103. Prime factorization of 82725 in exponential form is:

82725 = 3¹ × 5² × 1103¹

Step-3: Factors of 82716

List of positive integer factors of 82716 that divides 82716 without a remainder.

1, 2, 3, 4, 6, 12, 61, 113, 122, 183, 226, 244, 339, 366, 452, 678, 732, 1356, 6893, 13786, 20679, 27572, 41358

Step-4: Factors of 82725

List of positive integer factors of 82725 that divides 82716 without a remainder.

1, 3, 5, 15, 25, 75, 1103, 3309, 5515, 16545, 27575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82716 and 82725. The biggest common factor number is the GCF number.
So the greatest common factor 82716 and 82725 is 3.

Also check out the Least Common Multiple of 82716 and 82725