What is the Greatest Common Factor of 26208 and 26224?

Greatest common factor (GCF) of 26208 and 26224 is 16.

GCF(26208,26224) = 16

We will now calculate the prime factors of 26208 and 26224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26208 and 26224.

How to find the GCF of 26208 and 26224?

We will first find the prime factorization of 26208 and 26224. After we will calculate the factors of 26208 and 26224 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 26224

Prime factors of 26224 are 2, 11, 149. Prime factorization of 26224 in exponential form is:

26224 = 2⁴ × 11¹ × 149¹

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 26224

List of positive integer factors of 26224 that divides 26208 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 149, 176, 298, 596, 1192, 1639, 2384, 3278, 6556, 13112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26208 and 26224. The biggest common factor number is the GCF number.
So the greatest common factor 26208 and 26224 is 16.

Also check out the Least Common Multiple of 26208 and 26224