What is the Greatest Common Factor of 8475 and 8493?

Greatest common factor (GCF) of 8475 and 8493 is 3.

GCF(8475,8493) = 3

We will now calculate the prime factors of 8475 and 8493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8475 and 8493.

How to find the GCF of 8475 and 8493?

We will first find the prime factorization of 8475 and 8493. After we will calculate the factors of 8475 and 8493 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 8493

Prime factors of 8493 are 3, 19, 149. Prime factorization of 8493 in exponential form is:

8493 = 3¹ × 19¹ × 149¹

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 8493

List of positive integer factors of 8493 that divides 8475 without a remainder.

1, 3, 19, 57, 149, 447, 2831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8475 and 8493. The biggest common factor number is the GCF number.
So the greatest common factor 8475 and 8493 is 3.

Also check out the Least Common Multiple of 8475 and 8493