What is the Greatest Common Factor of 8538 and 8547?

Greatest common factor (GCF) of 8538 and 8547 is 3.

GCF(8538,8547) = 3

We will now calculate the prime factors of 8538 and 8547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8538 and 8547.

How to find the GCF of 8538 and 8547?

We will first find the prime factorization of 8538 and 8547. After we will calculate the factors of 8538 and 8547 and find the biggest common factor number .

Step-1: Prime Factorization of 8538

Prime factors of 8538 are 2, 3, 1423. Prime factorization of 8538 in exponential form is:

8538 = 2¹ × 3¹ × 1423¹

Step-2: Prime Factorization of 8547

Prime factors of 8547 are 3, 7, 11, 37. Prime factorization of 8547 in exponential form is:

8547 = 3¹ × 7¹ × 11¹ × 37¹

Step-3: Factors of 8538

List of positive integer factors of 8538 that divides 8538 without a remainder.

1, 2, 3, 6, 1423, 2846, 4269

Step-4: Factors of 8547

List of positive integer factors of 8547 that divides 8538 without a remainder.

1, 3, 7, 11, 21, 33, 37, 77, 111, 231, 259, 407, 777, 1221, 2849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8538 and 8547. The biggest common factor number is the GCF number.
So the greatest common factor 8538 and 8547 is 3.

Also check out the Least Common Multiple of 8538 and 8547