What is the Greatest Common Factor of 26480 and 26498?

Greatest common factor (GCF) of 26480 and 26498 is 2.

GCF(26480,26498) = 2

We will now calculate the prime factors of 26480 and 26498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26480 and 26498.

How to find the GCF of 26480 and 26498?

We will first find the prime factorization of 26480 and 26498. After we will calculate the factors of 26480 and 26498 and find the biggest common factor number .

Step-1: Prime Factorization of 26480

Prime factors of 26480 are 2, 5, 331. Prime factorization of 26480 in exponential form is:

26480 = 2⁴ × 5¹ × 331¹

Step-2: Prime Factorization of 26498

Prime factors of 26498 are 2, 13249. Prime factorization of 26498 in exponential form is:

26498 = 2¹ × 13249¹

Step-3: Factors of 26480

List of positive integer factors of 26480 that divides 26480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 331, 662, 1324, 1655, 2648, 3310, 5296, 6620, 13240

Step-4: Factors of 26498

List of positive integer factors of 26498 that divides 26480 without a remainder.

1, 2, 13249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26480 and 26498. The biggest common factor number is the GCF number.
So the greatest common factor 26480 and 26498 is 2.

Also check out the Least Common Multiple of 26480 and 26498