What is the Greatest Common Factor of 88509 and 88527?

Greatest common factor (GCF) of 88509 and 88527 is 3.

GCF(88509,88527) = 3

We will now calculate the prime factors of 88509 and 88527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88509 and 88527.

How to find the GCF of 88509 and 88527?

We will first find the prime factorization of 88509 and 88527. After we will calculate the factors of 88509 and 88527 and find the biggest common factor number .

Step-1: Prime Factorization of 88509

Prime factors of 88509 are 3, 163, 181. Prime factorization of 88509 in exponential form is:

88509 = 3¹ × 163¹ × 181¹

Step-2: Prime Factorization of 88527

Prime factors of 88527 are 3, 23, 1283. Prime factorization of 88527 in exponential form is:

88527 = 3¹ × 23¹ × 1283¹

Step-3: Factors of 88509

List of positive integer factors of 88509 that divides 88509 without a remainder.

1, 3, 163, 181, 489, 543, 29503

Step-4: Factors of 88527

List of positive integer factors of 88527 that divides 88509 without a remainder.

1, 3, 23, 69, 1283, 3849, 29509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88509 and 88527. The biggest common factor number is the GCF number.
So the greatest common factor 88509 and 88527 is 3.

Also check out the Least Common Multiple of 88509 and 88527