What is the Greatest Common Factor of 89357 and 89375?

Greatest common factor (GCF) of 89357 and 89375 is 1.

GCF(89357,89375) = 1

We will now calculate the prime factors of 89357 and 89375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89357 and 89375.

How to find the GCF of 89357 and 89375?

We will first find the prime factorization of 89357 and 89375. After we will calculate the factors of 89357 and 89375 and find the biggest common factor number .

Step-1: Prime Factorization of 89357

Prime factors of 89357 are 19, 4703. Prime factorization of 89357 in exponential form is:

89357 = 19¹ × 4703¹

Step-2: Prime Factorization of 89375

Prime factors of 89375 are 5, 11, 13. Prime factorization of 89375 in exponential form is:

89375 = 5⁴ × 11¹ × 13¹

Step-3: Factors of 89357

List of positive integer factors of 89357 that divides 89357 without a remainder.

1, 19, 4703

Step-4: Factors of 89375

List of positive integer factors of 89375 that divides 89357 without a remainder.

1, 5, 11, 13, 25, 55, 65, 125, 143, 275, 325, 625, 715, 1375, 1625, 3575, 6875, 8125, 17875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89357 and 89375. The biggest common factor number is the GCF number.
So the greatest common factor 89357 and 89375 is 1.

Also check out the Least Common Multiple of 89357 and 89375