What is the Greatest Common Factor of 26208 and 26221?

Greatest common factor (GCF) of 26208 and 26221 is 13.

GCF(26208,26221) = 13

We will now calculate the prime factors of 26208 and 26221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26208 and 26221.

How to find the GCF of 26208 and 26221?

We will first find the prime factorization of 26208 and 26221. After we will calculate the factors of 26208 and 26221 and find the biggest common factor number .

Step-1: Prime Factorization of 26208

Prime factors of 26208 are 2, 3, 7, 13. Prime factorization of 26208 in exponential form is:

26208 = 2⁵ × 3² × 7¹ × 13¹

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 26208

List of positive integer factors of 26208 that divides 26208 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 16, 18, 21, 24, 26, 28, 32, 36, 39, 42, 48, 52, 56, 63, 72, 78, 84, 91, 96, 104, 112, 117, 126, 144, 156, 168, 182, 208, 224, 234, 252, 273, 288, 312, 336, 364, 416, 468, 504, 546, 624, 672, 728, 819, 936, 1008, 1092, 1248, 1456, 1638, 1872, 2016, 2184, 2912, 3276, 3744, 4368, 6552, 8736, 13104

Step-4: Factors of 26221

List of positive integer factors of 26221 that divides 26208 without a remainder.

1, 13, 2017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26208 and 26221. The biggest common factor number is the GCF number.
So the greatest common factor 26208 and 26221 is 13.

Also check out the Least Common Multiple of 26208 and 26221