What is the Greatest Common Factor of 9100 and 9111?

Greatest common factor (GCF) of 9100 and 9111 is 1.

GCF(9100,9111) = 1

We will now calculate the prime factors of 9100 and 9111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9100 and 9111.

How to find the GCF of 9100 and 9111?

We will first find the prime factorization of 9100 and 9111. After we will calculate the factors of 9100 and 9111 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 9111

Prime factors of 9111 are 3, 3037. Prime factorization of 9111 in exponential form is:

9111 = 3¹ × 3037¹

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 9111

List of positive integer factors of 9111 that divides 9100 without a remainder.

1, 3, 3037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9100 and 9111. The biggest common factor number is the GCF number.
So the greatest common factor 9100 and 9111 is 1.

Also check out the Least Common Multiple of 9100 and 9111