What is the Greatest Common Factor of 88515 and 88525?

Greatest common factor (GCF) of 88515 and 88525 is 5.

GCF(88515,88525) = 5

We will now calculate the prime factors of 88515 and 88525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88515 and 88525.

How to find the GCF of 88515 and 88525?

We will first find the prime factorization of 88515 and 88525. After we will calculate the factors of 88515 and 88525 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88525

Prime factors of 88525 are 5, 3541. Prime factorization of 88525 in exponential form is:

88525 = 5² × 3541¹

Step-3: Factors of 88515

List of positive integer factors of 88515 that divides 88515 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

Step-4: Factors of 88525

List of positive integer factors of 88525 that divides 88515 without a remainder.

1, 5, 25, 3541, 17705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88515 and 88525. The biggest common factor number is the GCF number.
So the greatest common factor 88515 and 88525 is 5.

Also check out the Least Common Multiple of 88515 and 88525