What is the Greatest Common Factor of 88506 and 88517?

Greatest common factor (GCF) of 88506 and 88517 is 11.

GCF(88506,88517) = 11

We will now calculate the prime factors of 88506 and 88517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88506 and 88517.

How to find the GCF of 88506 and 88517?

We will first find the prime factorization of 88506 and 88517. After we will calculate the factors of 88506 and 88517 and find the biggest common factor number .

Step-1: Prime Factorization of 88506

Prime factors of 88506 are 2, 3, 11, 149. Prime factorization of 88506 in exponential form is:

88506 = 2¹ × 3³ × 11¹ × 149¹

Step-2: 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-3: Factors of 88506

List of positive integer factors of 88506 that divides 88506 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 149, 198, 297, 298, 447, 594, 894, 1341, 1639, 2682, 3278, 4023, 4917, 8046, 9834, 14751, 29502, 44253

Step-4: Factors of 88517

List of positive integer factors of 88517 that divides 88506 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88506 and 88517. The biggest common factor number is the GCF number.
So the greatest common factor 88506 and 88517 is 11.

Also check out the Least Common Multiple of 88506 and 88517