What is the Greatest Common Factor of 73299 and 73314?

Greatest common factor (GCF) of 73299 and 73314 is 3.

GCF(73299,73314) = 3

We will now calculate the prime factors of 73299 and 73314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73299 and 73314.

How to find the GCF of 73299 and 73314?

We will first find the prime factorization of 73299 and 73314. After we will calculate the factors of 73299 and 73314 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 73314

Prime factors of 73314 are 2, 3, 4073. Prime factorization of 73314 in exponential form is:

73314 = 2¹ × 3² × 4073¹

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 73314

List of positive integer factors of 73314 that divides 73299 without a remainder.

1, 2, 3, 6, 9, 18, 4073, 8146, 12219, 24438, 36657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73299 and 73314. The biggest common factor number is the GCF number.
So the greatest common factor 73299 and 73314 is 3.

Also check out the Least Common Multiple of 73299 and 73314