What is the Greatest Common Factor of 8475 and 8491?

Greatest common factor (GCF) of 8475 and 8491 is 1.

GCF(8475,8491) = 1

We will now calculate the prime factors of 8475 and 8491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8475 and 8491.

How to find the GCF of 8475 and 8491?

We will first find the prime factorization of 8475 and 8491. After we will calculate the factors of 8475 and 8491 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 8491

Prime factors of 8491 are 7, 1213. Prime factorization of 8491 in exponential form is:

8491 = 7¹ × 1213¹

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 8491

List of positive integer factors of 8491 that divides 8475 without a remainder.

1, 7, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8475 and 8491. The biggest common factor number is the GCF number.
So the greatest common factor 8475 and 8491 is 1.

Also check out the Least Common Multiple of 8475 and 8491