What is the Greatest Common Factor of 73314 and 73331?

Greatest common factor (GCF) of 73314 and 73331 is 1.

GCF(73314,73331) = 1

We will now calculate the prime factors of 73314 and 73331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73314 and 73331.

How to find the GCF of 73314 and 73331?

We will first find the prime factorization of 73314 and 73331. After we will calculate the factors of 73314 and 73331 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 73331

Prime factors of 73331 are 73331. Prime factorization of 73331 in exponential form is:

73331 = 73331¹

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 73331

List of positive integer factors of 73331 that divides 73314 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73314 and 73331. The biggest common factor number is the GCF number.
So the greatest common factor 73314 and 73331 is 1.

Also check out the Least Common Multiple of 73314 and 73331