What is the Greatest Common Factor of 57180 and 57184?

Greatest common factor (GCF) of 57180 and 57184 is 4.

GCF(57180,57184) = 4

We will now calculate the prime factors of 57180 and 57184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57180 and 57184.

How to find the GCF of 57180 and 57184?

We will first find the prime factorization of 57180 and 57184. After we will calculate the factors of 57180 and 57184 and find the biggest common factor number .

Step-1: Prime Factorization of 57180

Prime factors of 57180 are 2, 3, 5, 953. Prime factorization of 57180 in exponential form is:

57180 = 2² × 3¹ × 5¹ × 953¹

Step-2: Prime Factorization of 57184

Prime factors of 57184 are 2, 1787. Prime factorization of 57184 in exponential form is:

57184 = 2⁵ × 1787¹

Step-3: Factors of 57180

List of positive integer factors of 57180 that divides 57180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 953, 1906, 2859, 3812, 4765, 5718, 9530, 11436, 14295, 19060, 28590

Step-4: Factors of 57184

List of positive integer factors of 57184 that divides 57180 without a remainder.

1, 2, 4, 8, 16, 32, 1787, 3574, 7148, 14296, 28592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57180 and 57184. The biggest common factor number is the GCF number.
So the greatest common factor 57180 and 57184 is 4.

Also check out the Least Common Multiple of 57180 and 57184