What is the Greatest Common Factor of 26480 and 26500?

Greatest common factor (GCF) of 26480 and 26500 is 20.

GCF(26480,26500) = 20

We will now calculate the prime factors of 26480 and 26500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26480 and 26500.

How to find the GCF of 26480 and 26500?

We will first find the prime factorization of 26480 and 26500. After we will calculate the factors of 26480 and 26500 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 26500

Prime factors of 26500 are 2, 5, 53. Prime factorization of 26500 in exponential form is:

26500 = 2² × 5³ × 53¹

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 26500

List of positive integer factors of 26500 that divides 26480 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 125, 212, 250, 265, 500, 530, 1060, 1325, 2650, 5300, 6625, 13250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26480 and 26500. The biggest common factor number is the GCF number.
So the greatest common factor 26480 and 26500 is 20.

Also check out the Least Common Multiple of 26480 and 26500