What is the Greatest Common Factor of 73299 and 73317?

Greatest common factor (GCF) of 73299 and 73317 is 3.

GCF(73299,73317) = 3

We will now calculate the prime factors of 73299 and 73317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73299 and 73317.

How to find the GCF of 73299 and 73317?

We will first find the prime factorization of 73299 and 73317. After we will calculate the factors of 73299 and 73317 and find the biggest common factor number .

Step-1: Prime Factorization of 73299

Prime factors of 73299 are 3, 53, 461. Prime factorization of 73299 in exponential form is:

73299 = 3¹ × 53¹ × 461¹

Step-2: Prime Factorization of 73317

Prime factors of 73317 are 3, 24439. Prime factorization of 73317 in exponential form is:

73317 = 3¹ × 24439¹

Step-3: Factors of 73299

List of positive integer factors of 73299 that divides 73299 without a remainder.

1, 3, 53, 159, 461, 1383, 24433

Step-4: Factors of 73317

List of positive integer factors of 73317 that divides 73299 without a remainder.

1, 3, 24439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73299 and 73317. The biggest common factor number is the GCF number.
So the greatest common factor 73299 and 73317 is 3.

Also check out the Least Common Multiple of 73299 and 73317