What is the Greatest Common Factor of 8463 and 8470?

Greatest common factor (GCF) of 8463 and 8470 is 7.

GCF(8463,8470) = 7

We will now calculate the prime factors of 8463 and 8470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8463 and 8470.

How to find the GCF of 8463 and 8470?

We will first find the prime factorization of 8463 and 8470. After we will calculate the factors of 8463 and 8470 and find the biggest common factor number .

Step-1: Prime Factorization of 8463

Prime factors of 8463 are 3, 7, 13, 31. Prime factorization of 8463 in exponential form is:

8463 = 3¹ × 7¹ × 13¹ × 31¹

Step-2: 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-3: Factors of 8463

List of positive integer factors of 8463 that divides 8463 without a remainder.

1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821

Step-4: Factors of 8470

List of positive integer factors of 8470 that divides 8463 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8463 and 8470. The biggest common factor number is the GCF number.
So the greatest common factor 8463 and 8470 is 7.

Also check out the Least Common Multiple of 8463 and 8470