What is the Greatest Common Factor of 8514 and 8529?

Greatest common factor (GCF) of 8514 and 8529 is 3.

GCF(8514,8529) = 3

We will now calculate the prime factors of 8514 and 8529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8514 and 8529.

How to find the GCF of 8514 and 8529?

We will first find the prime factorization of 8514 and 8529. After we will calculate the factors of 8514 and 8529 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8529

Prime factors of 8529 are 3, 2843. Prime factorization of 8529 in exponential form is:

8529 = 3¹ × 2843¹

Step-3: Factors of 8514

List of positive integer factors of 8514 that divides 8514 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

Step-4: Factors of 8529

List of positive integer factors of 8529 that divides 8514 without a remainder.

1, 3, 2843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8514 and 8529. The biggest common factor number is the GCF number.
So the greatest common factor 8514 and 8529 is 3.

Also check out the Least Common Multiple of 8514 and 8529