What is the Greatest Common Factor of 54849 and 54858?

Greatest common factor (GCF) of 54849 and 54858 is 3.

GCF(54849,54858) = 3

We will now calculate the prime factors of 54849 and 54858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54849 and 54858.

How to find the GCF of 54849 and 54858?

We will first find the prime factorization of 54849 and 54858. After we will calculate the factors of 54849 and 54858 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 54858

Prime factors of 54858 are 2, 3, 41, 223. Prime factorization of 54858 in exponential form is:

54858 = 2¹ × 3¹ × 41¹ × 223¹

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 54858

List of positive integer factors of 54858 that divides 54849 without a remainder.

1, 2, 3, 6, 41, 82, 123, 223, 246, 446, 669, 1338, 9143, 18286, 27429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54849 and 54858. The biggest common factor number is the GCF number.
So the greatest common factor 54849 and 54858 is 3.

Also check out the Least Common Multiple of 54849 and 54858