What is the Greatest Common Factor of 26288 and 26308?

Greatest common factor (GCF) of 26288 and 26308 is 4.

GCF(26288,26308) = 4

We will now calculate the prime factors of 26288 and 26308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26288 and 26308.

How to find the GCF of 26288 and 26308?

We will first find the prime factorization of 26288 and 26308. After we will calculate the factors of 26288 and 26308 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 26308

Prime factors of 26308 are 2, 6577. Prime factorization of 26308 in exponential form is:

26308 = 2² × 6577¹

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 26308

List of positive integer factors of 26308 that divides 26288 without a remainder.

1, 2, 4, 6577, 13154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26288 and 26308. The biggest common factor number is the GCF number.
So the greatest common factor 26288 and 26308 is 4.

Also check out the Least Common Multiple of 26288 and 26308