What is the Greatest Common Factor of 54834 and 54849?

Greatest common factor (GCF) of 54834 and 54849 is 3.

GCF(54834,54849) = 3

We will now calculate the prime factors of 54834 and 54849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54834 and 54849.

How to find the GCF of 54834 and 54849?

We will first find the prime factorization of 54834 and 54849. After we will calculate the factors of 54834 and 54849 and find the biggest common factor number .

Step-1: Prime Factorization of 54834

Prime factors of 54834 are 2, 3, 13, 19, 37. Prime factorization of 54834 in exponential form is:

54834 = 2¹ × 3¹ × 13¹ × 19¹ × 37¹

Step-2: 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-3: Factors of 54834

List of positive integer factors of 54834 that divides 54834 without a remainder.

1, 2, 3, 6, 13, 19, 26, 37, 38, 39, 57, 74, 78, 111, 114, 222, 247, 481, 494, 703, 741, 962, 1406, 1443, 1482, 2109, 2886, 4218, 9139, 18278, 27417

Step-4: Factors of 54849

List of positive integer factors of 54849 that divides 54834 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54834 and 54849. The biggest common factor number is the GCF number.
So the greatest common factor 54834 and 54849 is 3.

Also check out the Least Common Multiple of 54834 and 54849