What is the Greatest Common Factor of 58436 and 58450?

Greatest common factor (GCF) of 58436 and 58450 is 14.

GCF(58436,58450) = 14

We will now calculate the prime factors of 58436 and 58450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58436 and 58450.

How to find the GCF of 58436 and 58450?

We will first find the prime factorization of 58436 and 58450. After we will calculate the factors of 58436 and 58450 and find the biggest common factor number .

Step-1: Prime Factorization of 58436

Prime factors of 58436 are 2, 7, 2087. Prime factorization of 58436 in exponential form is:

58436 = 2² × 7¹ × 2087¹

Step-2: Prime Factorization of 58450

Prime factors of 58450 are 2, 5, 7, 167. Prime factorization of 58450 in exponential form is:

58450 = 2¹ × 5² × 7¹ × 167¹

Step-3: Factors of 58436

List of positive integer factors of 58436 that divides 58436 without a remainder.

1, 2, 4, 7, 14, 28, 2087, 4174, 8348, 14609, 29218

Step-4: Factors of 58450

List of positive integer factors of 58450 that divides 58436 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 167, 175, 334, 350, 835, 1169, 1670, 2338, 4175, 5845, 8350, 11690, 29225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58436 and 58450. The biggest common factor number is the GCF number.
So the greatest common factor 58436 and 58450 is 14.

Also check out the Least Common Multiple of 58436 and 58450