What is the Greatest Common Factor of 58536 and 58554?

Greatest common factor (GCF) of 58536 and 58554 is 18.

GCF(58536,58554) = 18

We will now calculate the prime factors of 58536 and 58554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58536 and 58554.

How to find the GCF of 58536 and 58554?

We will first find the prime factorization of 58536 and 58554. After we will calculate the factors of 58536 and 58554 and find the biggest common factor number .

Step-1: Prime Factorization of 58536

Prime factors of 58536 are 2, 3, 271. Prime factorization of 58536 in exponential form is:

58536 = 2³ × 3³ × 271¹

Step-2: Prime Factorization of 58554

Prime factors of 58554 are 2, 3, 3253. Prime factorization of 58554 in exponential form is:

58554 = 2¹ × 3² × 3253¹

Step-3: Factors of 58536

List of positive integer factors of 58536 that divides 58536 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 271, 542, 813, 1084, 1626, 2168, 2439, 3252, 4878, 6504, 7317, 9756, 14634, 19512, 29268

Step-4: Factors of 58554

List of positive integer factors of 58554 that divides 58536 without a remainder.

1, 2, 3, 6, 9, 18, 3253, 6506, 9759, 19518, 29277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58536 and 58554. The biggest common factor number is the GCF number.
So the greatest common factor 58536 and 58554 is 18.

Also check out the Least Common Multiple of 58536 and 58554