What is the Greatest Common Factor of 73296 and 73300?

Greatest common factor (GCF) of 73296 and 73300 is 4.

GCF(73296,73300) = 4

We will now calculate the prime factors of 73296 and 73300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73296 and 73300.

How to find the GCF of 73296 and 73300?

We will first find the prime factorization of 73296 and 73300. After we will calculate the factors of 73296 and 73300 and find the biggest common factor number .

Step-1: Prime Factorization of 73296

Prime factors of 73296 are 2, 3, 509. Prime factorization of 73296 in exponential form is:

73296 = 2⁴ × 3² × 509¹

Step-2: 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-3: Factors of 73296

List of positive integer factors of 73296 that divides 73296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 509, 1018, 1527, 2036, 3054, 4072, 4581, 6108, 8144, 9162, 12216, 18324, 24432, 36648

Step-4: Factors of 73300

List of positive integer factors of 73300 that divides 73296 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73296 and 73300. The biggest common factor number is the GCF number.
So the greatest common factor 73296 and 73300 is 4.

Also check out the Least Common Multiple of 73296 and 73300