What is the Greatest Common Factor of 8538 and 8549?

Greatest common factor (GCF) of 8538 and 8549 is 1.

GCF(8538,8549) = 1

We will now calculate the prime factors of 8538 and 8549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8538 and 8549.

How to find the GCF of 8538 and 8549?

We will first find the prime factorization of 8538 and 8549. After we will calculate the factors of 8538 and 8549 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 8549

Prime factors of 8549 are 83, 103. Prime factorization of 8549 in exponential form is:

8549 = 83¹ × 103¹

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 8549

List of positive integer factors of 8549 that divides 8538 without a remainder.

1, 83, 103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8538 and 8549. The biggest common factor number is the GCF number.
So the greatest common factor 8538 and 8549 is 1.

Also check out the Least Common Multiple of 8538 and 8549