What is the Greatest Common Factor of 8475 and 8488?

Greatest common factor (GCF) of 8475 and 8488 is 1.

GCF(8475,8488) = 1

We will now calculate the prime factors of 8475 and 8488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8475 and 8488.

How to find the GCF of 8475 and 8488?

We will first find the prime factorization of 8475 and 8488. After we will calculate the factors of 8475 and 8488 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 8488

Prime factors of 8488 are 2, 1061. Prime factorization of 8488 in exponential form is:

8488 = 2³ × 1061¹

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 8488

List of positive integer factors of 8488 that divides 8475 without a remainder.

1, 2, 4, 8, 1061, 2122, 4244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8475 and 8488. The biggest common factor number is the GCF number.
So the greatest common factor 8475 and 8488 is 1.

Also check out the Least Common Multiple of 8475 and 8488