What is the Greatest Common Factor of 8470 and 8475?

Greatest common factor (GCF) of 8470 and 8475 is 5.

GCF(8470,8475) = 5

We will now calculate the prime factors of 8470 and 8475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8470 and 8475.

How to find the GCF of 8470 and 8475?

We will first find the prime factorization of 8470 and 8475. After we will calculate the factors of 8470 and 8475 and find the biggest common factor number .

Step-1: Prime Factorization of 8470

Prime factors of 8470 are 2, 5, 7, 11. Prime factorization of 8470 in exponential form is:

8470 = 2¹ × 5¹ × 7¹ × 11²

Step-2: 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-3: Factors of 8470

List of positive integer factors of 8470 that divides 8470 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235

Step-4: Factors of 8475

List of positive integer factors of 8475 that divides 8470 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8470 and 8475. The biggest common factor number is the GCF number.
So the greatest common factor 8470 and 8475 is 5.

Also check out the Least Common Multiple of 8470 and 8475