What is the Greatest Common Factor of 88300 and 88309?

Greatest common factor (GCF) of 88300 and 88309 is 1.

GCF(88300,88309) = 1

We will now calculate the prime factors of 88300 and 88309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88300 and 88309.

How to find the GCF of 88300 and 88309?

We will first find the prime factorization of 88300 and 88309. After we will calculate the factors of 88300 and 88309 and find the biggest common factor number .

Step-1: Prime Factorization of 88300

Prime factors of 88300 are 2, 5, 883. Prime factorization of 88300 in exponential form is:

88300 = 2² × 5² × 883¹

Step-2: Prime Factorization of 88309

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

88309 = 13¹ × 6793¹

Step-3: Factors of 88300

List of positive integer factors of 88300 that divides 88300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 883, 1766, 3532, 4415, 8830, 17660, 22075, 44150

Step-4: Factors of 88309

List of positive integer factors of 88309 that divides 88300 without a remainder.

1, 13, 6793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88300 and 88309. The biggest common factor number is the GCF number.
So the greatest common factor 88300 and 88309 is 1.

Also check out the Least Common Multiple of 88300 and 88309