What is the Greatest Common Factor of 9100 and 9115?

Greatest common factor (GCF) of 9100 and 9115 is 5.

GCF(9100,9115) = 5

We will now calculate the prime factors of 9100 and 9115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9100 and 9115.

How to find the GCF of 9100 and 9115?

We will first find the prime factorization of 9100 and 9115. After we will calculate the factors of 9100 and 9115 and find the biggest common factor number .

Step-1: Prime Factorization of 9100

Prime factors of 9100 are 2, 5, 7, 13. Prime factorization of 9100 in exponential form is:

9100 = 2² × 5² × 7¹ × 13¹

Step-2: Prime Factorization of 9115

Prime factors of 9115 are 5, 1823. Prime factorization of 9115 in exponential form is:

9115 = 5¹ × 1823¹

Step-3: Factors of 9100

List of positive integer factors of 9100 that divides 9100 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550

Step-4: Factors of 9115

List of positive integer factors of 9115 that divides 9100 without a remainder.

1, 5, 1823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9100 and 9115. The biggest common factor number is the GCF number.
So the greatest common factor 9100 and 9115 is 5.

Also check out the Least Common Multiple of 9100 and 9115