What is the Greatest Common Factor of 57834 and 57846?

Greatest common factor (GCF) of 57834 and 57846 is 6.

GCF(57834,57846) = 6

We will now calculate the prime factors of 57834 and 57846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57834 and 57846.

How to find the GCF of 57834 and 57846?

We will first find the prime factorization of 57834 and 57846. After we will calculate the factors of 57834 and 57846 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 57846

Prime factors of 57846 are 2, 3, 31, 311. Prime factorization of 57846 in exponential form is:

57846 = 2¹ × 3¹ × 31¹ × 311¹

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 57846

List of positive integer factors of 57846 that divides 57834 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 311, 622, 933, 1866, 9641, 19282, 28923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57834 and 57846. The biggest common factor number is the GCF number.
So the greatest common factor 57834 and 57846 is 6.

Also check out the Least Common Multiple of 57834 and 57846