What is the Greatest Common Factor of 58365 and 58374?

Greatest common factor (GCF) of 58365 and 58374 is 9.

GCF(58365,58374) = 9

We will now calculate the prime factors of 58365 and 58374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58365 and 58374.

How to find the GCF of 58365 and 58374?

We will first find the prime factorization of 58365 and 58374. After we will calculate the factors of 58365 and 58374 and find the biggest common factor number .

Step-1: Prime Factorization of 58365

Prime factors of 58365 are 3, 5, 1297. Prime factorization of 58365 in exponential form is:

58365 = 3² × 5¹ × 1297¹

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 58365

List of positive integer factors of 58365 that divides 58365 without a remainder.

1, 3, 5, 9, 15, 45, 1297, 3891, 6485, 11673, 19455

Step-4: Factors of 58374

List of positive integer factors of 58374 that divides 58365 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 58365 and 58374. The biggest common factor number is the GCF number.
So the greatest common factor 58365 and 58374 is 9.

Also check out the Least Common Multiple of 58365 and 58374