What is the Greatest Common Factor of 26475 and 26481?

Greatest common factor (GCF) of 26475 and 26481 is 3.

GCF(26475,26481) = 3

We will now calculate the prime factors of 26475 and 26481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26475 and 26481.

How to find the GCF of 26475 and 26481?

We will first find the prime factorization of 26475 and 26481. After we will calculate the factors of 26475 and 26481 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 26481

Prime factors of 26481 are 3, 7, 13, 97. Prime factorization of 26481 in exponential form is:

26481 = 3¹ × 7¹ × 13¹ × 97¹

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 26481

List of positive integer factors of 26481 that divides 26475 without a remainder.

1, 3, 7, 13, 21, 39, 91, 97, 273, 291, 679, 1261, 2037, 3783, 8827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26475 and 26481. The biggest common factor number is the GCF number.
So the greatest common factor 26475 and 26481 is 3.

Also check out the Least Common Multiple of 26475 and 26481