What is the Greatest Common Factor of 8505 and 8514?

Greatest common factor (GCF) of 8505 and 8514 is 9.

GCF(8505,8514) = 9

We will now calculate the prime factors of 8505 and 8514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8505 and 8514.

How to find the GCF of 8505 and 8514?

We will first find the prime factorization of 8505 and 8514. After we will calculate the factors of 8505 and 8514 and find the biggest common factor number .

Step-1: Prime Factorization of 8505

Prime factors of 8505 are 3, 5, 7. Prime factorization of 8505 in exponential form is:

8505 = 3⁵ × 5¹ × 7¹

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 8505

List of positive integer factors of 8505 that divides 8505 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835

Step-4: Factors of 8514

List of positive integer factors of 8514 that divides 8505 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 8505 and 8514. The biggest common factor number is the GCF number.
So the greatest common factor 8505 and 8514 is 9.

Also check out the Least Common Multiple of 8505 and 8514