What is the Greatest Common Factor of 58356 and 58374?

Greatest common factor (GCF) of 58356 and 58374 is 18.

GCF(58356,58374) = 18

We will now calculate the prime factors of 58356 and 58374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58356 and 58374.

How to find the GCF of 58356 and 58374?

We will first find the prime factorization of 58356 and 58374. After we will calculate the factors of 58356 and 58374 and find the biggest common factor number .

Step-1: Prime Factorization of 58356

Prime factors of 58356 are 2, 3, 1621. Prime factorization of 58356 in exponential form is:

58356 = 2² × 3² × 1621¹

Step-2: Prime Factorization of 58374

Prime factors of 58374 are 2, 3, 23, 47. Prime factorization of 58374 in exponential form is:

58374 = 2¹ × 3³ × 23¹ × 47¹

Step-3: Factors of 58356

List of positive integer factors of 58356 that divides 58356 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1621, 3242, 4863, 6484, 9726, 14589, 19452, 29178

Step-4: Factors of 58374

List of positive integer factors of 58374 that divides 58356 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 47, 54, 69, 94, 138, 141, 207, 282, 414, 423, 621, 846, 1081, 1242, 1269, 2162, 2538, 3243, 6486, 9729, 19458, 29187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58356 and 58374. The biggest common factor number is the GCF number.
So the greatest common factor 58356 and 58374 is 18.

Also check out the Least Common Multiple of 58356 and 58374