What is the Greatest Common Factor of 58180 and 58184?

Greatest common factor (GCF) of 58180 and 58184 is 4.

GCF(58180,58184) = 4

We will now calculate the prime factors of 58180 and 58184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58180 and 58184.

How to find the GCF of 58180 and 58184?

We will first find the prime factorization of 58180 and 58184. After we will calculate the factors of 58180 and 58184 and find the biggest common factor number .

Step-1: Prime Factorization of 58180

Prime factors of 58180 are 2, 5, 2909. Prime factorization of 58180 in exponential form is:

58180 = 2² × 5¹ × 2909¹

Step-2: Prime Factorization of 58184

Prime factors of 58184 are 2, 7, 1039. Prime factorization of 58184 in exponential form is:

58184 = 2³ × 7¹ × 1039¹

Step-3: Factors of 58180

List of positive integer factors of 58180 that divides 58180 without a remainder.

1, 2, 4, 5, 10, 20, 2909, 5818, 11636, 14545, 29090

Step-4: Factors of 58184

List of positive integer factors of 58184 that divides 58180 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1039, 2078, 4156, 7273, 8312, 14546, 29092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58180 and 58184. The biggest common factor number is the GCF number.
So the greatest common factor 58180 and 58184 is 4.

Also check out the Least Common Multiple of 58180 and 58184