What is the Greatest Common Factor of 73368 and 73385?

Greatest common factor (GCF) of 73368 and 73385 is 1.

GCF(73368,73385) = 1

We will now calculate the prime factors of 73368 and 73385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73368 and 73385.

How to find the GCF of 73368 and 73385?

We will first find the prime factorization of 73368 and 73385. After we will calculate the factors of 73368 and 73385 and find the biggest common factor number .

Step-1: Prime Factorization of 73368

Prime factors of 73368 are 2, 3, 1019. Prime factorization of 73368 in exponential form is:

73368 = 2³ × 3² × 1019¹

Step-2: Prime Factorization of 73385

Prime factors of 73385 are 5, 13, 1129. Prime factorization of 73385 in exponential form is:

73385 = 5¹ × 13¹ × 1129¹

Step-3: Factors of 73368

List of positive integer factors of 73368 that divides 73368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1019, 2038, 3057, 4076, 6114, 8152, 9171, 12228, 18342, 24456, 36684

Step-4: Factors of 73385

List of positive integer factors of 73385 that divides 73368 without a remainder.

1, 5, 13, 65, 1129, 5645, 14677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73368 and 73385. The biggest common factor number is the GCF number.
So the greatest common factor 73368 and 73385 is 1.

Also check out the Least Common Multiple of 73368 and 73385