What is the Greatest Common Factor of 54825 and 54843?

Greatest common factor (GCF) of 54825 and 54843 is 3.

GCF(54825,54843) = 3

We will now calculate the prime factors of 54825 and 54843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54825 and 54843.

How to find the GCF of 54825 and 54843?

We will first find the prime factorization of 54825 and 54843. After we will calculate the factors of 54825 and 54843 and find the biggest common factor number .

Step-1: Prime Factorization of 54825

Prime factors of 54825 are 3, 5, 17, 43. Prime factorization of 54825 in exponential form is:

54825 = 3¹ × 5² × 17¹ × 43¹

Step-2: Prime Factorization of 54843

Prime factors of 54843 are 3, 101, 181. Prime factorization of 54843 in exponential form is:

54843 = 3¹ × 101¹ × 181¹

Step-3: Factors of 54825

List of positive integer factors of 54825 that divides 54825 without a remainder.

1, 3, 5, 15, 17, 25, 43, 51, 75, 85, 129, 215, 255, 425, 645, 731, 1075, 1275, 2193, 3225, 3655, 10965, 18275

Step-4: Factors of 54843

List of positive integer factors of 54843 that divides 54825 without a remainder.

1, 3, 101, 181, 303, 543, 18281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54825 and 54843. The biggest common factor number is the GCF number.
So the greatest common factor 54825 and 54843 is 3.

Also check out the Least Common Multiple of 54825 and 54843