What is the Greatest Common Factor of 8514 and 8533?

Greatest common factor (GCF) of 8514 and 8533 is 1.

GCF(8514,8533) = 1

We will now calculate the prime factors of 8514 and 8533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8514 and 8533.

How to find the GCF of 8514 and 8533?

We will first find the prime factorization of 8514 and 8533. After we will calculate the factors of 8514 and 8533 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 8533

Prime factors of 8533 are 7, 23, 53. Prime factorization of 8533 in exponential form is:

8533 = 7¹ × 23¹ × 53¹

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 8533

List of positive integer factors of 8533 that divides 8514 without a remainder.

1, 7, 23, 53, 161, 371, 1219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8514 and 8533. The biggest common factor number is the GCF number.
So the greatest common factor 8514 and 8533 is 1.

Also check out the Least Common Multiple of 8514 and 8533