What is the Greatest Common Factor of 26214 and 26220?

Greatest common factor (GCF) of 26214 and 26220 is 6.

GCF(26214,26220) = 6

We will now calculate the prime factors of 26214 and 26220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26214 and 26220.

How to find the GCF of 26214 and 26220?

We will first find the prime factorization of 26214 and 26220. After we will calculate the factors of 26214 and 26220 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 26220

Prime factors of 26220 are 2, 3, 5, 19, 23. Prime factorization of 26220 in exponential form is:

26220 = 2² × 3¹ × 5¹ × 19¹ × 23¹

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 26220

List of positive integer factors of 26220 that divides 26214 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 23, 30, 38, 46, 57, 60, 69, 76, 92, 95, 114, 115, 138, 190, 228, 230, 276, 285, 345, 380, 437, 460, 570, 690, 874, 1140, 1311, 1380, 1748, 2185, 2622, 4370, 5244, 6555, 8740, 13110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26214 and 26220. The biggest common factor number is the GCF number.
So the greatest common factor 26214 and 26220 is 6.

Also check out the Least Common Multiple of 26214 and 26220