What is the Greatest Common Factor of 8475 and 8481?

Greatest common factor (GCF) of 8475 and 8481 is 3.

GCF(8475,8481) = 3

We will now calculate the prime factors of 8475 and 8481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8475 and 8481.

How to find the GCF of 8475 and 8481?

We will first find the prime factorization of 8475 and 8481. After we will calculate the factors of 8475 and 8481 and find the biggest common factor number .

Step-1: Prime Factorization of 8475

Prime factors of 8475 are 3, 5, 113. Prime factorization of 8475 in exponential form is:

8475 = 3¹ × 5² × 113¹

Step-2: Prime Factorization of 8481

Prime factors of 8481 are 3, 11, 257. Prime factorization of 8481 in exponential form is:

8481 = 3¹ × 11¹ × 257¹

Step-3: Factors of 8475

List of positive integer factors of 8475 that divides 8475 without a remainder.

1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825

Step-4: Factors of 8481

List of positive integer factors of 8481 that divides 8475 without a remainder.

1, 3, 11, 33, 257, 771, 2827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8475 and 8481. The biggest common factor number is the GCF number.
So the greatest common factor 8475 and 8481 is 3.

Also check out the Least Common Multiple of 8475 and 8481