What is the Greatest Common Factor of 9084 and 9102?

Greatest common factor (GCF) of 9084 and 9102 is 6.

GCF(9084,9102) = 6

We will now calculate the prime factors of 9084 and 9102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9084 and 9102.

How to find the GCF of 9084 and 9102?

We will first find the prime factorization of 9084 and 9102. After we will calculate the factors of 9084 and 9102 and find the biggest common factor number .

Step-1: Prime Factorization of 9084

Prime factors of 9084 are 2, 3, 757. Prime factorization of 9084 in exponential form is:

9084 = 2² × 3¹ × 757¹

Step-2: Prime Factorization of 9102

Prime factors of 9102 are 2, 3, 37, 41. Prime factorization of 9102 in exponential form is:

9102 = 2¹ × 3¹ × 37¹ × 41¹

Step-3: Factors of 9084

List of positive integer factors of 9084 that divides 9084 without a remainder.

1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542

Step-4: Factors of 9102

List of positive integer factors of 9102 that divides 9084 without a remainder.

1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9084 and 9102. The biggest common factor number is the GCF number.
So the greatest common factor 9084 and 9102 is 6.

Also check out the Least Common Multiple of 9084 and 9102