What is the Greatest Common Factor of 73917 and 73933?

Greatest common factor (GCF) of 73917 and 73933 is 1.

GCF(73917,73933) = 1

We will now calculate the prime factors of 73917 and 73933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73917 and 73933.

How to find the GCF of 73917 and 73933?

We will first find the prime factorization of 73917 and 73933. After we will calculate the factors of 73917 and 73933 and find the biggest common factor number .

Step-1: Prime Factorization of 73917

Prime factors of 73917 are 3, 43, 191. Prime factorization of 73917 in exponential form is:

73917 = 3² × 43¹ × 191¹

Step-2: Prime Factorization of 73933

Prime factors of 73933 are 17, 4349. Prime factorization of 73933 in exponential form is:

73933 = 17¹ × 4349¹

Step-3: Factors of 73917

List of positive integer factors of 73917 that divides 73917 without a remainder.

1, 3, 9, 43, 129, 191, 387, 573, 1719, 8213, 24639

Step-4: Factors of 73933

List of positive integer factors of 73933 that divides 73917 without a remainder.

1, 17, 4349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73917 and 73933. The biggest common factor number is the GCF number.
So the greatest common factor 73917 and 73933 is 1.

Also check out the Least Common Multiple of 73917 and 73933