What is the Greatest Common Factor of 9100 and 9107?

Greatest common factor (GCF) of 9100 and 9107 is 7.

GCF(9100,9107) = 7

We will now calculate the prime factors of 9100 and 9107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9100 and 9107.

How to find the GCF of 9100 and 9107?

We will first find the prime factorization of 9100 and 9107. After we will calculate the factors of 9100 and 9107 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 9107

Prime factors of 9107 are 7, 1301. Prime factorization of 9107 in exponential form is:

9107 = 7¹ × 1301¹

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 9107

List of positive integer factors of 9107 that divides 9100 without a remainder.

1, 7, 1301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9100 and 9107. The biggest common factor number is the GCF number.
So the greatest common factor 9100 and 9107 is 7.

Also check out the Least Common Multiple of 9100 and 9107