What is the Greatest Common Factor of 8523 and 8538?

Greatest common factor (GCF) of 8523 and 8538 is 3.

GCF(8523,8538) = 3

We will now calculate the prime factors of 8523 and 8538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8523 and 8538.

How to find the GCF of 8523 and 8538?

We will first find the prime factorization of 8523 and 8538. After we will calculate the factors of 8523 and 8538 and find the biggest common factor number .

Step-1: Prime Factorization of 8523

Prime factors of 8523 are 3, 947. Prime factorization of 8523 in exponential form is:

8523 = 3² × 947¹

Step-2: 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-3: Factors of 8523

List of positive integer factors of 8523 that divides 8523 without a remainder.

1, 3, 9, 947, 2841

Step-4: Factors of 8538

List of positive integer factors of 8538 that divides 8523 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8523 and 8538. The biggest common factor number is the GCF number.
So the greatest common factor 8523 and 8538 is 3.

Also check out the Least Common Multiple of 8523 and 8538