What is the Greatest Common Factor of 26199 and 26214?

Greatest common factor (GCF) of 26199 and 26214 is 3.

GCF(26199,26214) = 3

We will now calculate the prime factors of 26199 and 26214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26199 and 26214.

How to find the GCF of 26199 and 26214?

We will first find the prime factorization of 26199 and 26214. After we will calculate the factors of 26199 and 26214 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 26214

Prime factors of 26214 are 2, 3, 17, 257. Prime factorization of 26214 in exponential form is:

26214 = 2¹ × 3¹ × 17¹ × 257¹

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 26214

List of positive integer factors of 26214 that divides 26199 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 257, 514, 771, 1542, 4369, 8738, 13107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26199 and 26214. The biggest common factor number is the GCF number.
So the greatest common factor 26199 and 26214 is 3.

Also check out the Least Common Multiple of 26199 and 26214