What is the Greatest Common Factor of 73169 and 73188?

Greatest common factor (GCF) of 73169 and 73188 is 19.

GCF(73169,73188) = 19

We will now calculate the prime factors of 73169 and 73188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73169 and 73188.

How to find the GCF of 73169 and 73188?

We will first find the prime factorization of 73169 and 73188. After we will calculate the factors of 73169 and 73188 and find the biggest common factor number .

Step-1: Prime Factorization of 73169

Prime factors of 73169 are 19, 3851. Prime factorization of 73169 in exponential form is:

73169 = 19¹ × 3851¹

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 73169

List of positive integer factors of 73169 that divides 73169 without a remainder.

1, 19, 3851

Step-4: Factors of 73188

List of positive integer factors of 73188 that divides 73169 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 73169 and 73188. The biggest common factor number is the GCF number.
So the greatest common factor 73169 and 73188 is 19.

Also check out the Least Common Multiple of 73169 and 73188