What is the Greatest Common Factor of 73328 and 73346?

Greatest common factor (GCF) of 73328 and 73346 is 2.

GCF(73328,73346) = 2

We will now calculate the prime factors of 73328 and 73346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73328 and 73346.

How to find the GCF of 73328 and 73346?

We will first find the prime factorization of 73328 and 73346. After we will calculate the factors of 73328 and 73346 and find the biggest common factor number .

Step-1: Prime Factorization of 73328

Prime factors of 73328 are 2, 4583. Prime factorization of 73328 in exponential form is:

73328 = 2⁴ × 4583¹

Step-2: Prime Factorization of 73346

Prime factors of 73346 are 2, 7, 13, 31. Prime factorization of 73346 in exponential form is:

73346 = 2¹ × 7¹ × 13² × 31¹

Step-3: Factors of 73328

List of positive integer factors of 73328 that divides 73328 without a remainder.

1, 2, 4, 8, 16, 4583, 9166, 18332, 36664

Step-4: Factors of 73346

List of positive integer factors of 73346 that divides 73328 without a remainder.

1, 2, 7, 13, 14, 26, 31, 62, 91, 169, 182, 217, 338, 403, 434, 806, 1183, 2366, 2821, 5239, 5642, 10478, 36673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73328 and 73346. The biggest common factor number is the GCF number.
So the greatest common factor 73328 and 73346 is 2.

Also check out the Least Common Multiple of 73328 and 73346