What is the Greatest Common Factor of 93044 and 93058?

Greatest common factor (GCF) of 93044 and 93058 is 14.

GCF(93044,93058) = 14

We will now calculate the prime factors of 93044 and 93058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93044 and 93058.

How to find the GCF of 93044 and 93058?

We will first find the prime factorization of 93044 and 93058. After we will calculate the factors of 93044 and 93058 and find the biggest common factor number .

Step-1: Prime Factorization of 93044

Prime factors of 93044 are 2, 7, 3323. Prime factorization of 93044 in exponential form is:

93044 = 2² × 7¹ × 3323¹

Step-2: Prime Factorization of 93058

Prime factors of 93058 are 2, 7, 17, 23. Prime factorization of 93058 in exponential form is:

93058 = 2¹ × 7¹ × 17² × 23¹

Step-3: Factors of 93044

List of positive integer factors of 93044 that divides 93044 without a remainder.

1, 2, 4, 7, 14, 28, 3323, 6646, 13292, 23261, 46522

Step-4: Factors of 93058

List of positive integer factors of 93058 that divides 93044 without a remainder.

1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 289, 322, 391, 578, 782, 2023, 2737, 4046, 5474, 6647, 13294, 46529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93044 and 93058. The biggest common factor number is the GCF number.
So the greatest common factor 93044 and 93058 is 14.

Also check out the Least Common Multiple of 93044 and 93058