What is the Greatest Common Factor of 26480 and 26494?

Greatest common factor (GCF) of 26480 and 26494 is 2.

GCF(26480,26494) = 2

We will now calculate the prime factors of 26480 and 26494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26480 and 26494.

How to find the GCF of 26480 and 26494?

We will first find the prime factorization of 26480 and 26494. After we will calculate the factors of 26480 and 26494 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 26494

Prime factors of 26494 are 2, 13, 1019. Prime factorization of 26494 in exponential form is:

26494 = 2¹ × 13¹ × 1019¹

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 26494

List of positive integer factors of 26494 that divides 26480 without a remainder.

1, 2, 13, 26, 1019, 2038, 13247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26480 and 26494. The biggest common factor number is the GCF number.
So the greatest common factor 26480 and 26494 is 2.

Also check out the Least Common Multiple of 26480 and 26494