What is the Greatest Common Factor of 74352 and 74368?

Greatest common factor (GCF) of 74352 and 74368 is 16.

GCF(74352,74368) = 16

We will now calculate the prime factors of 74352 and 74368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74352 and 74368.

How to find the GCF of 74352 and 74368?

We will first find the prime factorization of 74352 and 74368. After we will calculate the factors of 74352 and 74368 and find the biggest common factor number .

Step-1: Prime Factorization of 74352

Prime factors of 74352 are 2, 3, 1549. Prime factorization of 74352 in exponential form is:

74352 = 2⁴ × 3¹ × 1549¹

Step-2: Prime Factorization of 74368

Prime factors of 74368 are 2, 7, 83. Prime factorization of 74368 in exponential form is:

74368 = 2⁷ × 7¹ × 83¹

Step-3: Factors of 74352

List of positive integer factors of 74352 that divides 74352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1549, 3098, 4647, 6196, 9294, 12392, 18588, 24784, 37176

Step-4: Factors of 74368

List of positive integer factors of 74368 that divides 74352 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 83, 112, 128, 166, 224, 332, 448, 581, 664, 896, 1162, 1328, 2324, 2656, 4648, 5312, 9296, 10624, 18592, 37184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74352 and 74368. The biggest common factor number is the GCF number.
So the greatest common factor 74352 and 74368 is 16.

Also check out the Least Common Multiple of 74352 and 74368