What is the Greatest Common Factor of 89364 and 89375?

Greatest common factor (GCF) of 89364 and 89375 is 11.

GCF(89364,89375) = 11

We will now calculate the prime factors of 89364 and 89375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89364 and 89375.

How to find the GCF of 89364 and 89375?

We will first find the prime factorization of 89364 and 89375. After we will calculate the factors of 89364 and 89375 and find the biggest common factor number .

Step-1: Prime Factorization of 89364

Prime factors of 89364 are 2, 3, 11, 677. Prime factorization of 89364 in exponential form is:

89364 = 2² × 3¹ × 11¹ × 677¹

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 89364

List of positive integer factors of 89364 that divides 89364 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 677, 1354, 2031, 2708, 4062, 7447, 8124, 14894, 22341, 29788, 44682

Step-4: Factors of 89375

List of positive integer factors of 89375 that divides 89364 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 89364 and 89375. The biggest common factor number is the GCF number.
So the greatest common factor 89364 and 89375 is 11.

Also check out the Least Common Multiple of 89364 and 89375