What is the Greatest Common Factor of 8470 and 8484?

Greatest common factor (GCF) of 8470 and 8484 is 14.

GCF(8470,8484) = 14

We will now calculate the prime factors of 8470 and 8484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8470 and 8484.

How to find the GCF of 8470 and 8484?

We will first find the prime factorization of 8470 and 8484. After we will calculate the factors of 8470 and 8484 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 8484

Prime factors of 8484 are 2, 3, 7, 101. Prime factorization of 8484 in exponential form is:

8484 = 2² × 3¹ × 7¹ × 101¹

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 8484

List of positive integer factors of 8484 that divides 8470 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8470 and 8484. The biggest common factor number is the GCF number.
So the greatest common factor 8470 and 8484 is 14.

Also check out the Least Common Multiple of 8470 and 8484