What is the Greatest Common Factor of 58338 and 58345?

Greatest common factor (GCF) of 58338 and 58345 is 7.

GCF(58338,58345) = 7

We will now calculate the prime factors of 58338 and 58345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58338 and 58345.

How to find the GCF of 58338 and 58345?

We will first find the prime factorization of 58338 and 58345. After we will calculate the factors of 58338 and 58345 and find the biggest common factor number .

Step-1: Prime Factorization of 58338

Prime factors of 58338 are 2, 3, 7, 463. Prime factorization of 58338 in exponential form is:

58338 = 2¹ × 3² × 7¹ × 463¹

Step-2: Prime Factorization of 58345

Prime factors of 58345 are 5, 7, 1667. Prime factorization of 58345 in exponential form is:

58345 = 5¹ × 7¹ × 1667¹

Step-3: Factors of 58338

List of positive integer factors of 58338 that divides 58338 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 463, 926, 1389, 2778, 3241, 4167, 6482, 8334, 9723, 19446, 29169

Step-4: Factors of 58345

List of positive integer factors of 58345 that divides 58338 without a remainder.

1, 5, 7, 35, 1667, 8335, 11669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58338 and 58345. The biggest common factor number is the GCF number.
So the greatest common factor 58338 and 58345 is 7.

Also check out the Least Common Multiple of 58338 and 58345