What is the Greatest Common Factor of 8475 and 8492?

Greatest common factor (GCF) of 8475 and 8492 is 1.

GCF(8475,8492) = 1

We will now calculate the prime factors of 8475 and 8492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8475 and 8492.

How to find the GCF of 8475 and 8492?

We will first find the prime factorization of 8475 and 8492. After we will calculate the factors of 8475 and 8492 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 8492

Prime factors of 8492 are 2, 11, 193. Prime factorization of 8492 in exponential form is:

8492 = 2² × 11¹ × 193¹

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 8492

List of positive integer factors of 8492 that divides 8475 without a remainder.

1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8475 and 8492. The biggest common factor number is the GCF number.
So the greatest common factor 8475 and 8492 is 1.

Also check out the Least Common Multiple of 8475 and 8492