What is the Greatest Common Factor of 73314 and 73333?

Greatest common factor (GCF) of 73314 and 73333 is 1.

GCF(73314,73333) = 1

We will now calculate the prime factors of 73314 and 73333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73314 and 73333.

How to find the GCF of 73314 and 73333?

We will first find the prime factorization of 73314 and 73333. After we will calculate the factors of 73314 and 73333 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73333

Prime factors of 73333 are 13, 5641. Prime factorization of 73333 in exponential form is:

73333 = 13¹ × 5641¹

Step-3: Factors of 73314

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

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

Step-4: Factors of 73333

List of positive integer factors of 73333 that divides 73314 without a remainder.

1, 13, 5641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73314 and 73333. The biggest common factor number is the GCF number.
So the greatest common factor 73314 and 73333 is 1.

Also check out the Least Common Multiple of 73314 and 73333