What is the Greatest Common Factor of 82537 and 82551?

Greatest common factor (GCF) of 82537 and 82551 is 7.

GCF(82537,82551) = 7

We will now calculate the prime factors of 82537 and 82551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82537 and 82551.

How to find the GCF of 82537 and 82551?

We will first find the prime factorization of 82537 and 82551. After we will calculate the factors of 82537 and 82551 and find the biggest common factor number .

Step-1: Prime Factorization of 82537

Prime factors of 82537 are 7, 13, 907. Prime factorization of 82537 in exponential form is:

82537 = 7¹ × 13¹ × 907¹

Step-2: Prime Factorization of 82551

Prime factors of 82551 are 3, 7, 3931. Prime factorization of 82551 in exponential form is:

82551 = 3¹ × 7¹ × 3931¹

Step-3: Factors of 82537

List of positive integer factors of 82537 that divides 82537 without a remainder.

1, 7, 13, 91, 907, 6349, 11791

Step-4: Factors of 82551

List of positive integer factors of 82551 that divides 82537 without a remainder.

1, 3, 7, 21, 3931, 11793, 27517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82537 and 82551. The biggest common factor number is the GCF number.
So the greatest common factor 82537 and 82551 is 7.

Also check out the Least Common Multiple of 82537 and 82551