What is the Greatest Common Factor of 26214 and 26221?

Greatest common factor (GCF) of 26214 and 26221 is 1.

GCF(26214,26221) = 1

We will now calculate the prime factors of 26214 and 26221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26214 and 26221.

How to find the GCF of 26214 and 26221?

We will first find the prime factorization of 26214 and 26221. After we will calculate the factors of 26214 and 26221 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26221

Prime factors of 26221 are 13, 2017. Prime factorization of 26221 in exponential form is:

26221 = 13¹ × 2017¹

Step-3: Factors of 26214

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

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

Step-4: Factors of 26221

List of positive integer factors of 26221 that divides 26214 without a remainder.

1, 13, 2017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26214 and 26221. The biggest common factor number is the GCF number.
So the greatest common factor 26214 and 26221 is 1.

Also check out the Least Common Multiple of 26214 and 26221