What is the Greatest Common Factor of 73335 and 73340?

Greatest common factor (GCF) of 73335 and 73340 is 5.

GCF(73335,73340) = 5

We will now calculate the prime factors of 73335 and 73340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73335 and 73340.

How to find the GCF of 73335 and 73340?

We will first find the prime factorization of 73335 and 73340. After we will calculate the factors of 73335 and 73340 and find the biggest common factor number .

Step-1: Prime Factorization of 73335

Prime factors of 73335 are 3, 5, 4889. Prime factorization of 73335 in exponential form is:

73335 = 3¹ × 5¹ × 4889¹

Step-2: Prime Factorization of 73340

Prime factors of 73340 are 2, 5, 19, 193. Prime factorization of 73340 in exponential form is:

73340 = 2² × 5¹ × 19¹ × 193¹

Step-3: Factors of 73335

List of positive integer factors of 73335 that divides 73335 without a remainder.

1, 3, 5, 15, 4889, 14667, 24445

Step-4: Factors of 73340

List of positive integer factors of 73340 that divides 73335 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 193, 380, 386, 772, 965, 1930, 3667, 3860, 7334, 14668, 18335, 36670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73335 and 73340. The biggest common factor number is the GCF number.
So the greatest common factor 73335 and 73340 is 5.

Also check out the Least Common Multiple of 73335 and 73340