What is the Greatest Common Factor of 73170 and 73188?

Greatest common factor (GCF) of 73170 and 73188 is 18.

GCF(73170,73188) = 18

We will now calculate the prime factors of 73170 and 73188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73170 and 73188.

How to find the GCF of 73170 and 73188?

We will first find the prime factorization of 73170 and 73188. After we will calculate the factors of 73170 and 73188 and find the biggest common factor number .

Step-1: Prime Factorization of 73170

Prime factors of 73170 are 2, 3, 5, 271. Prime factorization of 73170 in exponential form is:

73170 = 2¹ × 3³ × 5¹ × 271¹

Step-2: Prime Factorization of 73188

Prime factors of 73188 are 2, 3, 19, 107. Prime factorization of 73188 in exponential form is:

73188 = 2² × 3² × 19¹ × 107¹

Step-3: Factors of 73170

List of positive integer factors of 73170 that divides 73170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 271, 542, 813, 1355, 1626, 2439, 2710, 4065, 4878, 7317, 8130, 12195, 14634, 24390, 36585

Step-4: Factors of 73188

List of positive integer factors of 73188 that divides 73170 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 107, 114, 171, 214, 228, 321, 342, 428, 642, 684, 963, 1284, 1926, 2033, 3852, 4066, 6099, 8132, 12198, 18297, 24396, 36594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73170 and 73188. The biggest common factor number is the GCF number.
So the greatest common factor 73170 and 73188 is 18.

Also check out the Least Common Multiple of 73170 and 73188