What is the Greatest Common Factor of 26199 and 26211?

Greatest common factor (GCF) of 26199 and 26211 is 3.

GCF(26199,26211) = 3

We will now calculate the prime factors of 26199 and 26211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26199 and 26211.

How to find the GCF of 26199 and 26211?

We will first find the prime factorization of 26199 and 26211. After we will calculate the factors of 26199 and 26211 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 26211

Prime factors of 26211 are 3, 8737. Prime factorization of 26211 in exponential form is:

26211 = 3¹ × 8737¹

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 26211

List of positive integer factors of 26211 that divides 26199 without a remainder.

1, 3, 8737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26199 and 26211. The biggest common factor number is the GCF number.
So the greatest common factor 26199 and 26211 is 3.

Also check out the Least Common Multiple of 26199 and 26211