What is the Greatest Common Factor of 73296 and 73302?

Greatest common factor (GCF) of 73296 and 73302 is 6.

GCF(73296,73302) = 6

We will now calculate the prime factors of 73296 and 73302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73296 and 73302.

How to find the GCF of 73296 and 73302?

We will first find the prime factorization of 73296 and 73302. After we will calculate the factors of 73296 and 73302 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 73302

Prime factors of 73302 are 2, 3, 19, 643. Prime factorization of 73302 in exponential form is:

73302 = 2¹ × 3¹ × 19¹ × 643¹

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 73302

List of positive integer factors of 73302 that divides 73296 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 643, 1286, 1929, 3858, 12217, 24434, 36651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73296 and 73302. The biggest common factor number is the GCF number.
So the greatest common factor 73296 and 73302 is 6.

Also check out the Least Common Multiple of 73296 and 73302