What is the Greatest Common Factor of 58536 and 58553?

Greatest common factor (GCF) of 58536 and 58553 is 1.

GCF(58536,58553) = 1

We will now calculate the prime factors of 58536 and 58553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58536 and 58553.

How to find the GCF of 58536 and 58553?

We will first find the prime factorization of 58536 and 58553. After we will calculate the factors of 58536 and 58553 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 58553

Prime factors of 58553 are 11, 5323. Prime factorization of 58553 in exponential form is:

58553 = 11¹ × 5323¹

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 58553

List of positive integer factors of 58553 that divides 58536 without a remainder.

1, 11, 5323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58536 and 58553. The biggest common factor number is the GCF number.
So the greatest common factor 58536 and 58553 is 1.

Also check out the Least Common Multiple of 58536 and 58553