What is the Greatest Common Factor of 82713 and 82725?

Greatest common factor (GCF) of 82713 and 82725 is 3.

GCF(82713,82725) = 3

We will now calculate the prime factors of 82713 and 82725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82713 and 82725.

How to find the GCF of 82713 and 82725?

We will first find the prime factorization of 82713 and 82725. After we will calculate the factors of 82713 and 82725 and find the biggest common factor number .

Step-1: Prime Factorization of 82713

Prime factors of 82713 are 3, 79, 349. Prime factorization of 82713 in exponential form is:

82713 = 3¹ × 79¹ × 349¹

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 82713

List of positive integer factors of 82713 that divides 82713 without a remainder.

1, 3, 79, 237, 349, 1047, 27571

Step-4: Factors of 82725

List of positive integer factors of 82725 that divides 82713 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 82713 and 82725. The biggest common factor number is the GCF number.
So the greatest common factor 82713 and 82725 is 3.

Also check out the Least Common Multiple of 82713 and 82725