What is the Greatest Common Factor of 9100 and 9108?

Greatest common factor (GCF) of 9100 and 9108 is 4.

GCF(9100,9108) = 4

We will now calculate the prime factors of 9100 and 9108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9100 and 9108.

How to find the GCF of 9100 and 9108?

We will first find the prime factorization of 9100 and 9108. After we will calculate the factors of 9100 and 9108 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 9108

Prime factors of 9108 are 2, 3, 11, 23. Prime factorization of 9108 in exponential form is:

9108 = 2² × 3² × 11¹ × 23¹

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 9108

List of positive integer factors of 9108 that divides 9100 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9100 and 9108. The biggest common factor number is the GCF number.
So the greatest common factor 9100 and 9108 is 4.

Also check out the Least Common Multiple of 9100 and 9108