What is the Greatest Common Factor of 73328 and 73332?

Greatest common factor (GCF) of 73328 and 73332 is 4.

GCF(73328,73332) = 4

We will now calculate the prime factors of 73328 and 73332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73328 and 73332.

How to find the GCF of 73328 and 73332?

We will first find the prime factorization of 73328 and 73332. After we will calculate the factors of 73328 and 73332 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 73332

Prime factors of 73332 are 2, 3, 7, 97. Prime factorization of 73332 in exponential form is:

73332 = 2² × 3³ × 7¹ × 97¹

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 73332

List of positive integer factors of 73332 that divides 73328 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 97, 108, 126, 189, 194, 252, 291, 378, 388, 582, 679, 756, 873, 1164, 1358, 1746, 2037, 2619, 2716, 3492, 4074, 5238, 6111, 8148, 10476, 12222, 18333, 24444, 36666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73328 and 73332. The biggest common factor number is the GCF number.
So the greatest common factor 73328 and 73332 is 4.

Also check out the Least Common Multiple of 73328 and 73332