What is the Greatest Common Factor of 88517 and 88530?

Greatest common factor (GCF) of 88517 and 88530 is 13.

GCF(88517,88530) = 13

We will now calculate the prime factors of 88517 and 88530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88517 and 88530.

How to find the GCF of 88517 and 88530?

We will first find the prime factorization of 88517 and 88530. After we will calculate the factors of 88517 and 88530 and find the biggest common factor number .

Step-1: Prime Factorization of 88517

Prime factors of 88517 are 11, 13, 619. Prime factorization of 88517 in exponential form is:

88517 = 11¹ × 13¹ × 619¹

Step-2: Prime Factorization of 88530

Prime factors of 88530 are 2, 3, 5, 13, 227. Prime factorization of 88530 in exponential form is:

88530 = 2¹ × 3¹ × 5¹ × 13¹ × 227¹

Step-3: Factors of 88517

List of positive integer factors of 88517 that divides 88517 without a remainder.

1, 11, 13, 143, 619, 6809, 8047

Step-4: Factors of 88530

List of positive integer factors of 88530 that divides 88517 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 227, 390, 454, 681, 1135, 1362, 2270, 2951, 3405, 5902, 6810, 8853, 14755, 17706, 29510, 44265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88517 and 88530. The biggest common factor number is the GCF number.
So the greatest common factor 88517 and 88530 is 13.

Also check out the Least Common Multiple of 88517 and 88530