What is the Greatest Common Factor of 88508 and 88515?

Greatest common factor (GCF) of 88508 and 88515 is 7.

GCF(88508,88515) = 7

We will now calculate the prime factors of 88508 and 88515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88508 and 88515.

How to find the GCF of 88508 and 88515?

We will first find the prime factorization of 88508 and 88515. After we will calculate the factors of 88508 and 88515 and find the biggest common factor number .

Step-1: Prime Factorization of 88508

Prime factors of 88508 are 2, 7, 29, 109. Prime factorization of 88508 in exponential form is:

88508 = 2² × 7¹ × 29¹ × 109¹

Step-2: Prime Factorization of 88515

Prime factors of 88515 are 3, 5, 7, 281. Prime factorization of 88515 in exponential form is:

88515 = 3² × 5¹ × 7¹ × 281¹

Step-3: Factors of 88508

List of positive integer factors of 88508 that divides 88508 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 109, 116, 203, 218, 406, 436, 763, 812, 1526, 3052, 3161, 6322, 12644, 22127, 44254

Step-4: Factors of 88515

List of positive integer factors of 88515 that divides 88508 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 281, 315, 843, 1405, 1967, 2529, 4215, 5901, 9835, 12645, 17703, 29505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88508 and 88515. The biggest common factor number is the GCF number.
So the greatest common factor 88508 and 88515 is 7.

Also check out the Least Common Multiple of 88508 and 88515