What is the Greatest Common Factor of 26288 and 26298?

Greatest common factor (GCF) of 26288 and 26298 is 2.

GCF(26288,26298) = 2

We will now calculate the prime factors of 26288 and 26298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26288 and 26298.

How to find the GCF of 26288 and 26298?

We will first find the prime factorization of 26288 and 26298. After we will calculate the factors of 26288 and 26298 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 26298

Prime factors of 26298 are 2, 3, 487. Prime factorization of 26298 in exponential form is:

26298 = 2¹ × 3³ × 487¹

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 26298

List of positive integer factors of 26298 that divides 26288 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 487, 974, 1461, 2922, 4383, 8766, 13149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26288 and 26298. The biggest common factor number is the GCF number.
So the greatest common factor 26288 and 26298 is 2.

Also check out the Least Common Multiple of 26288 and 26298