What is the Greatest Common Factor of 8523 and 8541?

Greatest common factor (GCF) of 8523 and 8541 is 9.

GCF(8523,8541) = 9

We will now calculate the prime factors of 8523 and 8541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8523 and 8541.

How to find the GCF of 8523 and 8541?

We will first find the prime factorization of 8523 and 8541. After we will calculate the factors of 8523 and 8541 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 8541

Prime factors of 8541 are 3, 13, 73. Prime factorization of 8541 in exponential form is:

8541 = 3² × 13¹ × 73¹

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 8541

List of positive integer factors of 8541 that divides 8523 without a remainder.

1, 3, 9, 13, 39, 73, 117, 219, 657, 949, 2847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8523 and 8541. The biggest common factor number is the GCF number.
So the greatest common factor 8523 and 8541 is 9.

Also check out the Least Common Multiple of 8523 and 8541