What is the Greatest Common Factor of 57834 and 57849?

Greatest common factor (GCF) of 57834 and 57849 is 3.

GCF(57834,57849) = 3

We will now calculate the prime factors of 57834 and 57849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57834 and 57849.

How to find the GCF of 57834 and 57849?

We will first find the prime factorization of 57834 and 57849. After we will calculate the factors of 57834 and 57849 and find the biggest common factor number .

Step-1: Prime Factorization of 57834

Prime factors of 57834 are 2, 3, 7, 17. Prime factorization of 57834 in exponential form is:

57834 = 2¹ × 3⁵ × 7¹ × 17¹

Step-2: Prime Factorization of 57849

Prime factors of 57849 are 3, 11, 1753. Prime factorization of 57849 in exponential form is:

57849 = 3¹ × 11¹ × 1753¹

Step-3: Factors of 57834

List of positive integer factors of 57834 that divides 57834 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 81, 102, 119, 126, 153, 162, 189, 238, 243, 306, 357, 378, 459, 486, 567, 714, 918, 1071, 1134, 1377, 1701, 2142, 2754, 3213, 3402, 4131, 6426, 8262, 9639, 19278, 28917

Step-4: Factors of 57849

List of positive integer factors of 57849 that divides 57834 without a remainder.

1, 3, 11, 33, 1753, 5259, 19283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57834 and 57849. The biggest common factor number is the GCF number.
So the greatest common factor 57834 and 57849 is 3.

Also check out the Least Common Multiple of 57834 and 57849