What is the Greatest Common Factor of 26199 and 26205?

Greatest common factor (GCF) of 26199 and 26205 is 3.

GCF(26199,26205) = 3

We will now calculate the prime factors of 26199 and 26205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26199 and 26205.

How to find the GCF of 26199 and 26205?

We will first find the prime factorization of 26199 and 26205. After we will calculate the factors of 26199 and 26205 and find the biggest common factor number .

Step-1: Prime Factorization of 26199

Prime factors of 26199 are 3, 41, 71. Prime factorization of 26199 in exponential form is:

26199 = 3² × 41¹ × 71¹

Step-2: 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-3: Factors of 26199

List of positive integer factors of 26199 that divides 26199 without a remainder.

1, 3, 9, 41, 71, 123, 213, 369, 639, 2911, 8733

Step-4: Factors of 26205

List of positive integer factors of 26205 that divides 26199 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26199 and 26205. The biggest common factor number is the GCF number.
So the greatest common factor 26199 and 26205 is 3.

Also check out the Least Common Multiple of 26199 and 26205