What is the Greatest Common Factor of 26208 and 26225?

Greatest common factor (GCF) of 26208 and 26225 is 1.

GCF(26208,26225) = 1

We will now calculate the prime factors of 26208 and 26225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26208 and 26225.

How to find the GCF of 26208 and 26225?

We will first find the prime factorization of 26208 and 26225. After we will calculate the factors of 26208 and 26225 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 26225

Prime factors of 26225 are 5, 1049. Prime factorization of 26225 in exponential form is:

26225 = 5² × 1049¹

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 26225

List of positive integer factors of 26225 that divides 26208 without a remainder.

1, 5, 25, 1049, 5245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26208 and 26225. The biggest common factor number is the GCF number.
So the greatest common factor 26208 and 26225 is 1.

Also check out the Least Common Multiple of 26208 and 26225