What is the Greatest Common Factor of 9102 and 9117?

Greatest common factor (GCF) of 9102 and 9117 is 3.

GCF(9102,9117) = 3

We will now calculate the prime factors of 9102 and 9117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9102 and 9117.

How to find the GCF of 9102 and 9117?

We will first find the prime factorization of 9102 and 9117. After we will calculate the factors of 9102 and 9117 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9117

Prime factors of 9117 are 3, 1013. Prime factorization of 9117 in exponential form is:

9117 = 3² × 1013¹

Step-3: Factors of 9102

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

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

Step-4: Factors of 9117

List of positive integer factors of 9117 that divides 9102 without a remainder.

1, 3, 9, 1013, 3039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9102 and 9117. The biggest common factor number is the GCF number.
So the greatest common factor 9102 and 9117 is 3.

Also check out the Least Common Multiple of 9102 and 9117