What is the Greatest Common Factor of 73330 and 73344?

Greatest common factor (GCF) of 73330 and 73344 is 2.

GCF(73330,73344) = 2

We will now calculate the prime factors of 73330 and 73344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73330 and 73344.

How to find the GCF of 73330 and 73344?

We will first find the prime factorization of 73330 and 73344. After we will calculate the factors of 73330 and 73344 and find the biggest common factor number .

Step-1: Prime Factorization of 73330

Prime factors of 73330 are 2, 5, 7333. Prime factorization of 73330 in exponential form is:

73330 = 2¹ × 5¹ × 7333¹

Step-2: 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-3: Factors of 73330

List of positive integer factors of 73330 that divides 73330 without a remainder.

1, 2, 5, 10, 7333, 14666, 36665

Step-4: Factors of 73344

List of positive integer factors of 73344 that divides 73330 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73330 and 73344. The biggest common factor number is the GCF number.
So the greatest common factor 73330 and 73344 is 2.

Also check out the Least Common Multiple of 73330 and 73344