What is the Greatest Common Factor of 9090 and 9109?

Greatest common factor (GCF) of 9090 and 9109 is 1.

GCF(9090,9109) = 1

We will now calculate the prime factors of 9090 and 9109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9090 and 9109.

How to find the GCF of 9090 and 9109?

We will first find the prime factorization of 9090 and 9109. After we will calculate the factors of 9090 and 9109 and find the biggest common factor number .

Step-1: Prime Factorization of 9090

Prime factors of 9090 are 2, 3, 5, 101. Prime factorization of 9090 in exponential form is:

9090 = 2¹ × 3² × 5¹ × 101¹

Step-2: Prime Factorization of 9109

Prime factors of 9109 are 9109. Prime factorization of 9109 in exponential form is:

9109 = 9109¹

Step-3: Factors of 9090

List of positive integer factors of 9090 that divides 9090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545

Step-4: Factors of 9109

List of positive integer factors of 9109 that divides 9090 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9090 and 9109. The biggest common factor number is the GCF number.
So the greatest common factor 9090 and 9109 is 1.

Also check out the Least Common Multiple of 9090 and 9109