What is the Greatest Common Factor of 54849 and 54855?

Greatest common factor (GCF) of 54849 and 54855 is 3.

GCF(54849,54855) = 3

We will now calculate the prime factors of 54849 and 54855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54849 and 54855.

How to find the GCF of 54849 and 54855?

We will first find the prime factorization of 54849 and 54855. After we will calculate the factors of 54849 and 54855 and find the biggest common factor number .

Step-1: Prime Factorization of 54849

Prime factors of 54849 are 3, 47, 389. Prime factorization of 54849 in exponential form is:

54849 = 3¹ × 47¹ × 389¹

Step-2: Prime Factorization of 54855

Prime factors of 54855 are 3, 5, 23, 53. Prime factorization of 54855 in exponential form is:

54855 = 3² × 5¹ × 23¹ × 53¹

Step-3: Factors of 54849

List of positive integer factors of 54849 that divides 54849 without a remainder.

1, 3, 47, 141, 389, 1167, 18283

Step-4: Factors of 54855

List of positive integer factors of 54855 that divides 54849 without a remainder.

1, 3, 5, 9, 15, 23, 45, 53, 69, 115, 159, 207, 265, 345, 477, 795, 1035, 1219, 2385, 3657, 6095, 10971, 18285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54849 and 54855. The biggest common factor number is the GCF number.
So the greatest common factor 54849 and 54855 is 3.

Also check out the Least Common Multiple of 54849 and 54855