What is the Greatest Common Factor of 88309 and 88323?

Greatest common factor (GCF) of 88309 and 88323 is 1.

GCF(88309,88323) = 1

We will now calculate the prime factors of 88309 and 88323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88309 and 88323.

How to find the GCF of 88309 and 88323?

We will first find the prime factorization of 88309 and 88323. After we will calculate the factors of 88309 and 88323 and find the biggest common factor number .

Step-1: Prime Factorization of 88309

Prime factors of 88309 are 13, 6793. Prime factorization of 88309 in exponential form is:

88309 = 13¹ × 6793¹

Step-2: Prime Factorization of 88323

Prime factors of 88323 are 3, 59, 499. Prime factorization of 88323 in exponential form is:

88323 = 3¹ × 59¹ × 499¹

Step-3: Factors of 88309

List of positive integer factors of 88309 that divides 88309 without a remainder.

1, 13, 6793

Step-4: Factors of 88323

List of positive integer factors of 88323 that divides 88309 without a remainder.

1, 3, 59, 177, 499, 1497, 29441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88309 and 88323. The biggest common factor number is the GCF number.
So the greatest common factor 88309 and 88323 is 1.

Also check out the Least Common Multiple of 88309 and 88323