What is the Greatest Common Factor of 73324 and 73328?

Greatest common factor (GCF) of 73324 and 73328 is 4.

GCF(73324,73328) = 4

We will now calculate the prime factors of 73324 and 73328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73324 and 73328.

How to find the GCF of 73324 and 73328?

We will first find the prime factorization of 73324 and 73328. After we will calculate the factors of 73324 and 73328 and find the biggest common factor number .

Step-1: Prime Factorization of 73324

Prime factors of 73324 are 2, 23, 797. Prime factorization of 73324 in exponential form is:

73324 = 2² × 23¹ × 797¹

Step-2: Prime Factorization of 73328

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

73328 = 2⁴ × 4583¹

Step-3: Factors of 73324

List of positive integer factors of 73324 that divides 73324 without a remainder.

1, 2, 4, 23, 46, 92, 797, 1594, 3188, 18331, 36662

Step-4: Factors of 73328

List of positive integer factors of 73328 that divides 73324 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73324 and 73328. The biggest common factor number is the GCF number.
So the greatest common factor 73324 and 73328 is 4.

Also check out the Least Common Multiple of 73324 and 73328