What is the Greatest Common Factor of 8538 and 8553?

Greatest common factor (GCF) of 8538 and 8553 is 3.

GCF(8538,8553) = 3

We will now calculate the prime factors of 8538 and 8553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8538 and 8553.

How to find the GCF of 8538 and 8553?

We will first find the prime factorization of 8538 and 8553. After we will calculate the factors of 8538 and 8553 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 8553

Prime factors of 8553 are 3, 2851. Prime factorization of 8553 in exponential form is:

8553 = 3¹ × 2851¹

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 8553

List of positive integer factors of 8553 that divides 8538 without a remainder.

1, 3, 2851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8538 and 8553. The biggest common factor number is the GCF number.
So the greatest common factor 8538 and 8553 is 3.

Also check out the Least Common Multiple of 8538 and 8553