What is the Greatest Common Factor of 9102 and 9122?

Greatest common factor (GCF) of 9102 and 9122 is 2.

GCF(9102,9122) = 2

We will now calculate the prime factors of 9102 and 9122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9102 and 9122.

How to find the GCF of 9102 and 9122?

We will first find the prime factorization of 9102 and 9122. After we will calculate the factors of 9102 and 9122 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 9122

Prime factors of 9122 are 2, 4561. Prime factorization of 9122 in exponential form is:

9122 = 2¹ × 4561¹

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 9122

List of positive integer factors of 9122 that divides 9102 without a remainder.

1, 2, 4561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9102 and 9122. The biggest common factor number is the GCF number.
So the greatest common factor 9102 and 9122 is 2.

Also check out the Least Common Multiple of 9102 and 9122