What is the Greatest Common Factor of 73328 and 73348?

Greatest common factor (GCF) of 73328 and 73348 is 4.

GCF(73328,73348) = 4

We will now calculate the prime factors of 73328 and 73348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73328 and 73348.

How to find the GCF of 73328 and 73348?

We will first find the prime factorization of 73328 and 73348. After we will calculate the factors of 73328 and 73348 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 73348

Prime factors of 73348 are 2, 11, 1667. Prime factorization of 73348 in exponential form is:

73348 = 2² × 11¹ × 1667¹

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 73348

List of positive integer factors of 73348 that divides 73328 without a remainder.

1, 2, 4, 11, 22, 44, 1667, 3334, 6668, 18337, 36674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73328 and 73348. The biggest common factor number is the GCF number.
So the greatest common factor 73328 and 73348 is 4.

Also check out the Least Common Multiple of 73328 and 73348