What is the Greatest Common Factor of 89349 and 89358?

Greatest common factor (GCF) of 89349 and 89358 is 3.

GCF(89349,89358) = 3

We will now calculate the prime factors of 89349 and 89358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89349 and 89358.

How to find the GCF of 89349 and 89358?

We will first find the prime factorization of 89349 and 89358. After we will calculate the factors of 89349 and 89358 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 89358

Prime factors of 89358 are 2, 3, 53, 281. Prime factorization of 89358 in exponential form is:

89358 = 2¹ × 3¹ × 53¹ × 281¹

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 89358

List of positive integer factors of 89358 that divides 89349 without a remainder.

1, 2, 3, 6, 53, 106, 159, 281, 318, 562, 843, 1686, 14893, 29786, 44679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89349 and 89358. The biggest common factor number is the GCF number.
So the greatest common factor 89349 and 89358 is 3.

Also check out the Least Common Multiple of 89349 and 89358