What is the Greatest Common Factor of 26288 and 26299?

Greatest common factor (GCF) of 26288 and 26299 is 1.

GCF(26288,26299) = 1

We will now calculate the prime factors of 26288 and 26299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26288 and 26299.

How to find the GCF of 26288 and 26299?

We will first find the prime factorization of 26288 and 26299. After we will calculate the factors of 26288 and 26299 and find the biggest common factor number .

Step-1: Prime Factorization of 26288

Prime factors of 26288 are 2, 31, 53. Prime factorization of 26288 in exponential form is:

26288 = 2⁴ × 31¹ × 53¹

Step-2: Prime Factorization of 26299

Prime factors of 26299 are 7, 13, 17. Prime factorization of 26299 in exponential form is:

26299 = 7¹ × 13¹ × 17²

Step-3: Factors of 26288

List of positive integer factors of 26288 that divides 26288 without a remainder.

1, 2, 4, 8, 16, 31, 53, 62, 106, 124, 212, 248, 424, 496, 848, 1643, 3286, 6572, 13144

Step-4: Factors of 26299

List of positive integer factors of 26299 that divides 26288 without a remainder.

1, 7, 13, 17, 91, 119, 221, 289, 1547, 2023, 3757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26288 and 26299. The biggest common factor number is the GCF number.
So the greatest common factor 26288 and 26299 is 1.

Also check out the Least Common Multiple of 26288 and 26299