What is the Greatest Common Factor of 26475 and 26480?

Greatest common factor (GCF) of 26475 and 26480 is 5.

GCF(26475,26480) = 5

We will now calculate the prime factors of 26475 and 26480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26475 and 26480.

How to find the GCF of 26475 and 26480?

We will first find the prime factorization of 26475 and 26480. After we will calculate the factors of 26475 and 26480 and find the biggest common factor number .

Step-1: Prime Factorization of 26475

Prime factors of 26475 are 3, 5, 353. Prime factorization of 26475 in exponential form is:

26475 = 3¹ × 5² × 353¹

Step-2: 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-3: Factors of 26475

List of positive integer factors of 26475 that divides 26475 without a remainder.

1, 3, 5, 15, 25, 75, 353, 1059, 1765, 5295, 8825

Step-4: Factors of 26480

List of positive integer factors of 26480 that divides 26475 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26475 and 26480. The biggest common factor number is the GCF number.
So the greatest common factor 26475 and 26480 is 5.

Also check out the Least Common Multiple of 26475 and 26480