What is the Greatest Common Factor of 8514 and 8534?

Greatest common factor (GCF) of 8514 and 8534 is 2.

GCF(8514,8534) = 2

We will now calculate the prime factors of 8514 and 8534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8514 and 8534.

How to find the GCF of 8514 and 8534?

We will first find the prime factorization of 8514 and 8534. After we will calculate the factors of 8514 and 8534 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 8534

Prime factors of 8534 are 2, 17, 251. Prime factorization of 8534 in exponential form is:

8534 = 2¹ × 17¹ × 251¹

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 8534

List of positive integer factors of 8534 that divides 8514 without a remainder.

1, 2, 17, 34, 251, 502, 4267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8514 and 8534. The biggest common factor number is the GCF number.
So the greatest common factor 8514 and 8534 is 2.

Also check out the Least Common Multiple of 8514 and 8534