What is the Greatest Common Factor of 26100 and 26115?

Greatest common factor (GCF) of 26100 and 26115 is 15.

GCF(26100,26115) = 15

We will now calculate the prime factors of 26100 and 26115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26100 and 26115.

How to find the GCF of 26100 and 26115?

We will first find the prime factorization of 26100 and 26115. After we will calculate the factors of 26100 and 26115 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 26115

Prime factors of 26115 are 3, 5, 1741. Prime factorization of 26115 in exponential form is:

26115 = 3¹ × 5¹ × 1741¹

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 26115

List of positive integer factors of 26115 that divides 26100 without a remainder.

1, 3, 5, 15, 1741, 5223, 8705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26100 and 26115. The biggest common factor number is the GCF number.
So the greatest common factor 26100 and 26115 is 15.

Also check out the Least Common Multiple of 26100 and 26115