What is the Greatest Common Factor of 88491 and 88509?

Greatest common factor (GCF) of 88491 and 88509 is 3.

GCF(88491,88509) = 3

We will now calculate the prime factors of 88491 and 88509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88491 and 88509.

How to find the GCF of 88491 and 88509?

We will first find the prime factorization of 88491 and 88509. After we will calculate the factors of 88491 and 88509 and find the biggest common factor number .

Step-1: Prime Factorization of 88491

Prime factors of 88491 are 3, 13, 2269. Prime factorization of 88491 in exponential form is:

88491 = 3¹ × 13¹ × 2269¹

Step-2: 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-3: Factors of 88491

List of positive integer factors of 88491 that divides 88491 without a remainder.

1, 3, 13, 39, 2269, 6807, 29497

Step-4: Factors of 88509

List of positive integer factors of 88509 that divides 88491 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88491 and 88509. The biggest common factor number is the GCF number.
So the greatest common factor 88491 and 88509 is 3.

Also check out the Least Common Multiple of 88491 and 88509