What is the Greatest Common Factor of 26214 and 26226?

Greatest common factor (GCF) of 26214 and 26226 is 6.

GCF(26214,26226) = 6

We will now calculate the prime factors of 26214 and 26226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26214 and 26226.

How to find the GCF of 26214 and 26226?

We will first find the prime factorization of 26214 and 26226. After we will calculate the factors of 26214 and 26226 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 26226

Prime factors of 26226 are 2, 3, 31, 47. Prime factorization of 26226 in exponential form is:

26226 = 2¹ × 3² × 31¹ × 47¹

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 26226

List of positive integer factors of 26226 that divides 26214 without a remainder.

1, 2, 3, 6, 9, 18, 31, 47, 62, 93, 94, 141, 186, 279, 282, 423, 558, 846, 1457, 2914, 4371, 8742, 13113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26214 and 26226. The biggest common factor number is the GCF number.
So the greatest common factor 26214 and 26226 is 6.

Also check out the Least Common Multiple of 26214 and 26226