What is the Greatest Common Factor of 54786 and 54801?

Greatest common factor (GCF) of 54786 and 54801 is 3.

GCF(54786,54801) = 3

We will now calculate the prime factors of 54786 and 54801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54786 and 54801.

How to find the GCF of 54786 and 54801?

We will first find the prime factorization of 54786 and 54801. After we will calculate the factors of 54786 and 54801 and find the biggest common factor number .

Step-1: Prime Factorization of 54786

Prime factors of 54786 are 2, 3, 23, 397. Prime factorization of 54786 in exponential form is:

54786 = 2¹ × 3¹ × 23¹ × 397¹

Step-2: Prime Factorization of 54801

Prime factors of 54801 are 3, 6089. Prime factorization of 54801 in exponential form is:

54801 = 3² × 6089¹

Step-3: Factors of 54786

List of positive integer factors of 54786 that divides 54786 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 397, 794, 1191, 2382, 9131, 18262, 27393

Step-4: Factors of 54801

List of positive integer factors of 54801 that divides 54786 without a remainder.

1, 3, 9, 6089, 18267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54786 and 54801. The biggest common factor number is the GCF number.
So the greatest common factor 54786 and 54801 is 3.

Also check out the Least Common Multiple of 54786 and 54801