What is the Greatest Common Factor of 8456 and 8470?

Greatest common factor (GCF) of 8456 and 8470 is 14.

GCF(8456,8470) = 14

We will now calculate the prime factors of 8456 and 8470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8456 and 8470.

How to find the GCF of 8456 and 8470?

We will first find the prime factorization of 8456 and 8470. After we will calculate the factors of 8456 and 8470 and find the biggest common factor number .

Step-1: Prime Factorization of 8456

Prime factors of 8456 are 2, 7, 151. Prime factorization of 8456 in exponential form is:

8456 = 2³ × 7¹ × 151¹

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 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228

Step-4: Factors of 8470

List of positive integer factors of 8470 that divides 8456 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 8456 and 8470. The biggest common factor number is the GCF number.
So the greatest common factor 8456 and 8470 is 14.

Also check out the Least Common Multiple of 8456 and 8470