What is the Greatest Common Factor of 73300 and 73314?

Greatest common factor (GCF) of 73300 and 73314 is 2.

GCF(73300,73314) = 2

We will now calculate the prime factors of 73300 and 73314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73300 and 73314.

How to find the GCF of 73300 and 73314?

We will first find the prime factorization of 73300 and 73314. After we will calculate the factors of 73300 and 73314 and find the biggest common factor number .

Step-1: Prime Factorization of 73300

Prime factors of 73300 are 2, 5, 733. Prime factorization of 73300 in exponential form is:

73300 = 2² × 5² × 733¹

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 73300

List of positive integer factors of 73300 that divides 73300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 733, 1466, 2932, 3665, 7330, 14660, 18325, 36650

Step-4: Factors of 73314

List of positive integer factors of 73314 that divides 73300 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 73300 and 73314. The biggest common factor number is the GCF number.
So the greatest common factor 73300 and 73314 is 2.

Also check out the Least Common Multiple of 73300 and 73314