What is the Greatest Common Factor of 54571 and 54582?

Greatest common factor (GCF) of 54571 and 54582 is 11.

GCF(54571,54582) = 11

We will now calculate the prime factors of 54571 and 54582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54571 and 54582.

How to find the GCF of 54571 and 54582?

We will first find the prime factorization of 54571 and 54582. After we will calculate the factors of 54571 and 54582 and find the biggest common factor number .

Step-1: Prime Factorization of 54571

Prime factors of 54571 are 11, 41. Prime factorization of 54571 in exponential form is:

54571 = 11³ × 41¹

Step-2: Prime Factorization of 54582

Prime factors of 54582 are 2, 3, 11, 827. Prime factorization of 54582 in exponential form is:

54582 = 2¹ × 3¹ × 11¹ × 827¹

Step-3: Factors of 54571

List of positive integer factors of 54571 that divides 54571 without a remainder.

1, 11, 41, 121, 451, 1331, 4961

Step-4: Factors of 54582

List of positive integer factors of 54582 that divides 54571 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 827, 1654, 2481, 4962, 9097, 18194, 27291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54571 and 54582. The biggest common factor number is the GCF number.
So the greatest common factor 54571 and 54582 is 11.

Also check out the Least Common Multiple of 54571 and 54582