What is the Greatest Common Factor of 58394 and 58414?

Greatest common factor (GCF) of 58394 and 58414 is 2.

GCF(58394,58414) = 2

We will now calculate the prime factors of 58394 and 58414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58394 and 58414.

How to find the GCF of 58394 and 58414?

We will first find the prime factorization of 58394 and 58414. After we will calculate the factors of 58394 and 58414 and find the biggest common factor number .

Step-1: Prime Factorization of 58394

Prime factors of 58394 are 2, 7, 43, 97. Prime factorization of 58394 in exponential form is:

58394 = 2¹ × 7¹ × 43¹ × 97¹

Step-2: Prime Factorization of 58414

Prime factors of 58414 are 2, 29207. Prime factorization of 58414 in exponential form is:

58414 = 2¹ × 29207¹

Step-3: Factors of 58394

List of positive integer factors of 58394 that divides 58394 without a remainder.

1, 2, 7, 14, 43, 86, 97, 194, 301, 602, 679, 1358, 4171, 8342, 29197

Step-4: Factors of 58414

List of positive integer factors of 58414 that divides 58394 without a remainder.

1, 2, 29207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58394 and 58414. The biggest common factor number is the GCF number.
So the greatest common factor 58394 and 58414 is 2.

Also check out the Least Common Multiple of 58394 and 58414