What is the Greatest Common Factor of 89362 and 89375?

Greatest common factor (GCF) of 89362 and 89375 is 13.

GCF(89362,89375) = 13

We will now calculate the prime factors of 89362 and 89375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89362 and 89375.

How to find the GCF of 89362 and 89375?

We will first find the prime factorization of 89362 and 89375. After we will calculate the factors of 89362 and 89375 and find the biggest common factor number .

Step-1: Prime Factorization of 89362

Prime factors of 89362 are 2, 7, 13, 491. Prime factorization of 89362 in exponential form is:

89362 = 2¹ × 7¹ × 13¹ × 491¹

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 89362

List of positive integer factors of 89362 that divides 89362 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 491, 982, 3437, 6383, 6874, 12766, 44681

Step-4: Factors of 89375

List of positive integer factors of 89375 that divides 89362 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 89362 and 89375. The biggest common factor number is the GCF number.
So the greatest common factor 89362 and 89375 is 13.

Also check out the Least Common Multiple of 89362 and 89375