What is the Greatest Common Factor of 9044 and 9058?

Greatest common factor (GCF) of 9044 and 9058 is 14.

GCF(9044,9058) = 14

We will now calculate the prime factors of 9044 and 9058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9044 and 9058.

How to find the GCF of 9044 and 9058?

We will first find the prime factorization of 9044 and 9058. After we will calculate the factors of 9044 and 9058 and find the biggest common factor number .

Step-1: Prime Factorization of 9044

Prime factors of 9044 are 2, 7, 17, 19. Prime factorization of 9044 in exponential form is:

9044 = 2² × 7¹ × 17¹ × 19¹

Step-2: Prime Factorization of 9058

Prime factors of 9058 are 2, 7, 647. Prime factorization of 9058 in exponential form is:

9058 = 2¹ × 7¹ × 647¹

Step-3: Factors of 9044

List of positive integer factors of 9044 that divides 9044 without a remainder.

1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522

Step-4: Factors of 9058

List of positive integer factors of 9058 that divides 9044 without a remainder.

1, 2, 7, 14, 647, 1294, 4529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9044 and 9058. The biggest common factor number is the GCF number.
So the greatest common factor 9044 and 9058 is 14.

Also check out the Least Common Multiple of 9044 and 9058