What is the Greatest Common Factor of 26100 and 26118?

Greatest common factor (GCF) of 26100 and 26118 is 18.

GCF(26100,26118) = 18

We will now calculate the prime factors of 26100 and 26118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26100 and 26118.

How to find the GCF of 26100 and 26118?

We will first find the prime factorization of 26100 and 26118. After we will calculate the factors of 26100 and 26118 and find the biggest common factor number .

Step-1: Prime Factorization of 26100

Prime factors of 26100 are 2, 3, 5, 29. Prime factorization of 26100 in exponential form is:

26100 = 2² × 3² × 5² × 29¹

Step-2: Prime Factorization of 26118

Prime factors of 26118 are 2, 3, 1451. Prime factorization of 26118 in exponential form is:

26118 = 2¹ × 3² × 1451¹

Step-3: Factors of 26100

List of positive integer factors of 26100 that divides 26100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 29, 30, 36, 45, 50, 58, 60, 75, 87, 90, 100, 116, 145, 150, 174, 180, 225, 261, 290, 300, 348, 435, 450, 522, 580, 725, 870, 900, 1044, 1305, 1450, 1740, 2175, 2610, 2900, 4350, 5220, 6525, 8700, 13050

Step-4: Factors of 26118

List of positive integer factors of 26118 that divides 26100 without a remainder.

1, 2, 3, 6, 9, 18, 1451, 2902, 4353, 8706, 13059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26100 and 26118. The biggest common factor number is the GCF number.
So the greatest common factor 26100 and 26118 is 18.

Also check out the Least Common Multiple of 26100 and 26118