What is the Greatest Common Factor of 9120 and 9138?

Greatest common factor (GCF) of 9120 and 9138 is 6.

GCF(9120,9138) = 6

We will now calculate the prime factors of 9120 and 9138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9120 and 9138.

How to find the GCF of 9120 and 9138?

We will first find the prime factorization of 9120 and 9138. After we will calculate the factors of 9120 and 9138 and find the biggest common factor number .

Step-1: Prime Factorization of 9120

Prime factors of 9120 are 2, 3, 5, 19. Prime factorization of 9120 in exponential form is:

9120 = 2⁵ × 3¹ × 5¹ × 19¹

Step-2: Prime Factorization of 9138

Prime factors of 9138 are 2, 3, 1523. Prime factorization of 9138 in exponential form is:

9138 = 2¹ × 3¹ × 1523¹

Step-3: Factors of 9120

List of positive integer factors of 9120 that divides 9120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560

Step-4: Factors of 9138

List of positive integer factors of 9138 that divides 9120 without a remainder.

1, 2, 3, 6, 1523, 3046, 4569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9120 and 9138. The biggest common factor number is the GCF number.
So the greatest common factor 9120 and 9138 is 6.

Also check out the Least Common Multiple of 9120 and 9138