What is the Greatest Common Factor of 9044 and 9061?

Greatest common factor (GCF) of 9044 and 9061 is 17.

GCF(9044,9061) = 17

We will now calculate the prime factors of 9044 and 9061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9044 and 9061.

How to find the GCF of 9044 and 9061?

We will first find the prime factorization of 9044 and 9061. After we will calculate the factors of 9044 and 9061 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 9061

Prime factors of 9061 are 13, 17, 41. Prime factorization of 9061 in exponential form is:

9061 = 13¹ × 17¹ × 41¹

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 9061

List of positive integer factors of 9061 that divides 9044 without a remainder.

1, 13, 17, 41, 221, 533, 697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9044 and 9061. The biggest common factor number is the GCF number.
So the greatest common factor 9044 and 9061 is 17.

Also check out the Least Common Multiple of 9044 and 9061