What is the Greatest Common Factor of 90122 and 90130?

Greatest common factor (GCF) of 90122 and 90130 is 2.

GCF(90122,90130) = 2

We will now calculate the prime factors of 90122 and 90130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90122 and 90130.

How to find the GCF of 90122 and 90130?

We will first find the prime factorization of 90122 and 90130. After we will calculate the factors of 90122 and 90130 and find the biggest common factor number .

Step-1: Prime Factorization of 90122

Prime factors of 90122 are 2, 45061. Prime factorization of 90122 in exponential form is:

90122 = 2¹ × 45061¹

Step-2: Prime Factorization of 90130

Prime factors of 90130 are 2, 5, 9013. Prime factorization of 90130 in exponential form is:

90130 = 2¹ × 5¹ × 9013¹

Step-3: Factors of 90122

List of positive integer factors of 90122 that divides 90122 without a remainder.

1, 2, 45061

Step-4: Factors of 90130

List of positive integer factors of 90130 that divides 90122 without a remainder.

1, 2, 5, 10, 9013, 18026, 45065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90122 and 90130. The biggest common factor number is the GCF number.
So the greatest common factor 90122 and 90130 is 2.

Also check out the Least Common Multiple of 90122 and 90130