What is the Greatest Common Factor of 9044 and 9063?

Greatest common factor (GCF) of 9044 and 9063 is 19.

GCF(9044,9063) = 19

We will now calculate the prime factors of 9044 and 9063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9044 and 9063.

How to find the GCF of 9044 and 9063?

We will first find the prime factorization of 9044 and 9063. After we will calculate the factors of 9044 and 9063 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 9063

Prime factors of 9063 are 3, 19, 53. Prime factorization of 9063 in exponential form is:

9063 = 3² × 19¹ × 53¹

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 9063

List of positive integer factors of 9063 that divides 9044 without a remainder.

1, 3, 9, 19, 53, 57, 159, 171, 477, 1007, 3021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9044 and 9063. The biggest common factor number is the GCF number.
So the greatest common factor 9044 and 9063 is 19.

Also check out the Least Common Multiple of 9044 and 9063