What is the Greatest Common Factor of 73344 and 73363?

Greatest common factor (GCF) of 73344 and 73363 is 1.

GCF(73344,73363) = 1

We will now calculate the prime factors of 73344 and 73363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73344 and 73363.

How to find the GCF of 73344 and 73363?

We will first find the prime factorization of 73344 and 73363. After we will calculate the factors of 73344 and 73363 and find the biggest common factor number .

Step-1: Prime Factorization of 73344

Prime factors of 73344 are 2, 3, 191. Prime factorization of 73344 in exponential form is:

73344 = 2⁷ × 3¹ × 191¹

Step-2: Prime Factorization of 73363

Prime factors of 73363 are 73363. Prime factorization of 73363 in exponential form is:

73363 = 73363¹

Step-3: Factors of 73344

List of positive integer factors of 73344 that divides 73344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 191, 192, 382, 384, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168, 12224, 18336, 24448, 36672

Step-4: Factors of 73363

List of positive integer factors of 73363 that divides 73344 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73344 and 73363. The biggest common factor number is the GCF number.
So the greatest common factor 73344 and 73363 is 1.

Also check out the Least Common Multiple of 73344 and 73363