What is the Greatest Common Factor of 89299 and 89309?

Greatest common factor (GCF) of 89299 and 89309 is 1.

GCF(89299,89309) = 1

We will now calculate the prime factors of 89299 and 89309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89299 and 89309.

How to find the GCF of 89299 and 89309?

We will first find the prime factorization of 89299 and 89309. After we will calculate the factors of 89299 and 89309 and find the biggest common factor number .

Step-1: Prime Factorization of 89299

Prime factors of 89299 are 7, 12757. Prime factorization of 89299 in exponential form is:

89299 = 7¹ × 12757¹

Step-2: Prime Factorization of 89309

Prime factors of 89309 are 11, 23, 353. Prime factorization of 89309 in exponential form is:

89309 = 11¹ × 23¹ × 353¹

Step-3: Factors of 89299

List of positive integer factors of 89299 that divides 89299 without a remainder.

1, 7, 12757

Step-4: Factors of 89309

List of positive integer factors of 89309 that divides 89299 without a remainder.

1, 11, 23, 253, 353, 3883, 8119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89299 and 89309. The biggest common factor number is the GCF number.
So the greatest common factor 89299 and 89309 is 1.

Also check out the Least Common Multiple of 89299 and 89309