What is the Greatest Common Factor of 8504 and 8514?

Greatest common factor (GCF) of 8504 and 8514 is 2.

GCF(8504,8514) = 2

We will now calculate the prime factors of 8504 and 8514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8504 and 8514.

How to find the GCF of 8504 and 8514?

We will first find the prime factorization of 8504 and 8514. After we will calculate the factors of 8504 and 8514 and find the biggest common factor number .

Step-1: Prime Factorization of 8504

Prime factors of 8504 are 2, 1063. Prime factorization of 8504 in exponential form is:

8504 = 2³ × 1063¹

Step-2: Prime Factorization of 8514

Prime factors of 8514 are 2, 3, 11, 43. Prime factorization of 8514 in exponential form is:

8514 = 2¹ × 3² × 11¹ × 43¹

Step-3: Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1, 2, 4, 8, 1063, 2126, 4252

Step-4: Factors of 8514

List of positive integer factors of 8514 that divides 8504 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8504 and 8514. The biggest common factor number is the GCF number.
So the greatest common factor 8504 and 8514 is 2.

Also check out the Least Common Multiple of 8504 and 8514