What is the Greatest Common Factor of 26205 and 26220?

Greatest common factor (GCF) of 26205 and 26220 is 15.

GCF(26205,26220) = 15

We will now calculate the prime factors of 26205 and 26220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26205 and 26220.

How to find the GCF of 26205 and 26220?

We will first find the prime factorization of 26205 and 26220. After we will calculate the factors of 26205 and 26220 and find the biggest common factor number .

Step-1: Prime Factorization of 26205

Prime factors of 26205 are 3, 5, 1747. Prime factorization of 26205 in exponential form is:

26205 = 3¹ × 5¹ × 1747¹

Step-2: Prime Factorization of 26220

Prime factors of 26220 are 2, 3, 5, 19, 23. Prime factorization of 26220 in exponential form is:

26220 = 2² × 3¹ × 5¹ × 19¹ × 23¹

Step-3: Factors of 26205

List of positive integer factors of 26205 that divides 26205 without a remainder.

1, 3, 5, 15, 1747, 5241, 8735

Step-4: Factors of 26220

List of positive integer factors of 26220 that divides 26205 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 23, 30, 38, 46, 57, 60, 69, 76, 92, 95, 114, 115, 138, 190, 228, 230, 276, 285, 345, 380, 437, 460, 570, 690, 874, 1140, 1311, 1380, 1748, 2185, 2622, 4370, 5244, 6555, 8740, 13110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26205 and 26220. The biggest common factor number is the GCF number.
So the greatest common factor 26205 and 26220 is 15.

Also check out the Least Common Multiple of 26205 and 26220