What is the Greatest Common Factor of 9126 and 9139?

Greatest common factor (GCF) of 9126 and 9139 is 13.

GCF(9126,9139) = 13

We will now calculate the prime factors of 9126 and 9139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9126 and 9139.

How to find the GCF of 9126 and 9139?

We will first find the prime factorization of 9126 and 9139. After we will calculate the factors of 9126 and 9139 and find the biggest common factor number .

Step-1: Prime Factorization of 9126

Prime factors of 9126 are 2, 3, 13. Prime factorization of 9126 in exponential form is:

9126 = 2¹ × 3³ × 13²

Step-2: Prime Factorization of 9139

Prime factors of 9139 are 13, 19, 37. Prime factorization of 9139 in exponential form is:

9139 = 13¹ × 19¹ × 37¹

Step-3: Factors of 9126

List of positive integer factors of 9126 that divides 9126 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563

Step-4: Factors of 9139

List of positive integer factors of 9139 that divides 9126 without a remainder.

1, 13, 19, 37, 247, 481, 703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9126 and 9139. The biggest common factor number is the GCF number.
So the greatest common factor 9126 and 9139 is 13.

Also check out the Least Common Multiple of 9126 and 9139