What is the Greatest Common Factor of 89364 and 89371?

Greatest common factor (GCF) of 89364 and 89371 is 1.

GCF(89364,89371) = 1

We will now calculate the prime factors of 89364 and 89371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89364 and 89371.

How to find the GCF of 89364 and 89371?

We will first find the prime factorization of 89364 and 89371. After we will calculate the factors of 89364 and 89371 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 89371

Prime factors of 89371 are 89371. Prime factorization of 89371 in exponential form is:

89371 = 89371¹

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 89371

List of positive integer factors of 89371 that divides 89364 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89364 and 89371. The biggest common factor number is the GCF number.
So the greatest common factor 89364 and 89371 is 1.

Also check out the Least Common Multiple of 89364 and 89371