What is the Greatest Common Factor of 89309 and 89325?

Greatest common factor (GCF) of 89309 and 89325 is 1.

GCF(89309,89325) = 1

We will now calculate the prime factors of 89309 and 89325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89309 and 89325.

How to find the GCF of 89309 and 89325?

We will first find the prime factorization of 89309 and 89325. After we will calculate the factors of 89309 and 89325 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89325

Prime factors of 89325 are 3, 5, 397. Prime factorization of 89325 in exponential form is:

89325 = 3² × 5² × 397¹

Step-3: Factors of 89309

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

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

Step-4: Factors of 89325

List of positive integer factors of 89325 that divides 89309 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 397, 1191, 1985, 3573, 5955, 9925, 17865, 29775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89309 and 89325. The biggest common factor number is the GCF number.
So the greatest common factor 89309 and 89325 is 1.

Also check out the Least Common Multiple of 89309 and 89325