What is the Greatest Common Factor of 89334 and 89348?

Greatest common factor (GCF) of 89334 and 89348 is 14.

GCF(89334,89348) = 14

We will now calculate the prime factors of 89334 and 89348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89334 and 89348.

How to find the GCF of 89334 and 89348?

We will first find the prime factorization of 89334 and 89348. After we will calculate the factors of 89334 and 89348 and find the biggest common factor number .

Step-1: Prime Factorization of 89334

Prime factors of 89334 are 2, 3, 7, 709. Prime factorization of 89334 in exponential form is:

89334 = 2¹ × 3² × 7¹ × 709¹

Step-2: Prime Factorization of 89348

Prime factors of 89348 are 2, 7, 3191. Prime factorization of 89348 in exponential form is:

89348 = 2² × 7¹ × 3191¹

Step-3: Factors of 89334

List of positive integer factors of 89334 that divides 89334 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 709, 1418, 2127, 4254, 4963, 6381, 9926, 12762, 14889, 29778, 44667

Step-4: Factors of 89348

List of positive integer factors of 89348 that divides 89334 without a remainder.

1, 2, 4, 7, 14, 28, 3191, 6382, 12764, 22337, 44674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89334 and 89348. The biggest common factor number is the GCF number.
So the greatest common factor 89334 and 89348 is 14.

Also check out the Least Common Multiple of 89334 and 89348