What is the Greatest Common Factor of 59180 and 59184?

Greatest common factor (GCF) of 59180 and 59184 is 4.

GCF(59180,59184) = 4

We will now calculate the prime factors of 59180 and 59184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59180 and 59184.

How to find the GCF of 59180 and 59184?

We will first find the prime factorization of 59180 and 59184. After we will calculate the factors of 59180 and 59184 and find the biggest common factor number .

Step-1: Prime Factorization of 59180

Prime factors of 59180 are 2, 5, 11, 269. Prime factorization of 59180 in exponential form is:

59180 = 2² × 5¹ × 11¹ × 269¹

Step-2: Prime Factorization of 59184

Prime factors of 59184 are 2, 3, 137. Prime factorization of 59184 in exponential form is:

59184 = 2⁴ × 3³ × 137¹

Step-3: Factors of 59180

List of positive integer factors of 59180 that divides 59180 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 269, 538, 1076, 1345, 2690, 2959, 5380, 5918, 11836, 14795, 29590

Step-4: Factors of 59184

List of positive integer factors of 59184 that divides 59180 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 137, 144, 216, 274, 411, 432, 548, 822, 1096, 1233, 1644, 2192, 2466, 3288, 3699, 4932, 6576, 7398, 9864, 14796, 19728, 29592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59180 and 59184. The biggest common factor number is the GCF number.
So the greatest common factor 59180 and 59184 is 4.

Also check out the Least Common Multiple of 59180 and 59184