What is the Greatest Common Factor of 58362 and 58378?

Greatest common factor (GCF) of 58362 and 58378 is 2.

GCF(58362,58378) = 2

We will now calculate the prime factors of 58362 and 58378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58362 and 58378.

How to find the GCF of 58362 and 58378?

We will first find the prime factorization of 58362 and 58378. After we will calculate the factors of 58362 and 58378 and find the biggest common factor number .

Step-1: Prime Factorization of 58362

Prime factors of 58362 are 2, 3, 71, 137. Prime factorization of 58362 in exponential form is:

58362 = 2¹ × 3¹ × 71¹ × 137¹

Step-2: Prime Factorization of 58378

Prime factors of 58378 are 2, 17, 101. Prime factorization of 58378 in exponential form is:

58378 = 2¹ × 17² × 101¹

Step-3: Factors of 58362

List of positive integer factors of 58362 that divides 58362 without a remainder.

1, 2, 3, 6, 71, 137, 142, 213, 274, 411, 426, 822, 9727, 19454, 29181

Step-4: Factors of 58378

List of positive integer factors of 58378 that divides 58362 without a remainder.

1, 2, 17, 34, 101, 202, 289, 578, 1717, 3434, 29189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58362 and 58378. The biggest common factor number is the GCF number.
So the greatest common factor 58362 and 58378 is 2.

Also check out the Least Common Multiple of 58362 and 58378