What is the Greatest Common Factor of 89349 and 89364?

Greatest common factor (GCF) of 89349 and 89364 is 3.

GCF(89349,89364) = 3

We will now calculate the prime factors of 89349 and 89364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89349 and 89364.

How to find the GCF of 89349 and 89364?

We will first find the prime factorization of 89349 and 89364. After we will calculate the factors of 89349 and 89364 and find the biggest common factor number .

Step-1: Prime Factorization of 89349

Prime factors of 89349 are 3, 13, 29, 79. Prime factorization of 89349 in exponential form is:

89349 = 3¹ × 13¹ × 29¹ × 79¹

Step-2: 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-3: Factors of 89349

List of positive integer factors of 89349 that divides 89349 without a remainder.

1, 3, 13, 29, 39, 79, 87, 237, 377, 1027, 1131, 2291, 3081, 6873, 29783

Step-4: Factors of 89364

List of positive integer factors of 89364 that divides 89349 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89349 and 89364. The biggest common factor number is the GCF number.
So the greatest common factor 89349 and 89364 is 3.

Also check out the Least Common Multiple of 89349 and 89364