What is the Greatest Common Factor of 58338 and 58346?

Greatest common factor (GCF) of 58338 and 58346 is 2.

GCF(58338,58346) = 2

We will now calculate the prime factors of 58338 and 58346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58338 and 58346.

How to find the GCF of 58338 and 58346?

We will first find the prime factorization of 58338 and 58346. After we will calculate the factors of 58338 and 58346 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 58346

Prime factors of 58346 are 2, 29173. Prime factorization of 58346 in exponential form is:

58346 = 2¹ × 29173¹

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 58346

List of positive integer factors of 58346 that divides 58338 without a remainder.

1, 2, 29173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58338 and 58346. The biggest common factor number is the GCF number.
So the greatest common factor 58338 and 58346 is 2.

Also check out the Least Common Multiple of 58338 and 58346