What is the Greatest Common Factor of 74344 and 74352?

Greatest common factor (GCF) of 74344 and 74352 is 8.

GCF(74344,74352) = 8

We will now calculate the prime factors of 74344 and 74352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74344 and 74352.

How to find the GCF of 74344 and 74352?

We will first find the prime factorization of 74344 and 74352. After we will calculate the factors of 74344 and 74352 and find the biggest common factor number .

Step-1: Prime Factorization of 74344

Prime factors of 74344 are 2, 9293. Prime factorization of 74344 in exponential form is:

74344 = 2³ × 9293¹

Step-2: 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-3: Factors of 74344

List of positive integer factors of 74344 that divides 74344 without a remainder.

1, 2, 4, 8, 9293, 18586, 37172

Step-4: Factors of 74352

List of positive integer factors of 74352 that divides 74344 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74344 and 74352. The biggest common factor number is the GCF number.
So the greatest common factor 74344 and 74352 is 8.

Also check out the Least Common Multiple of 74344 and 74352