What is the Greatest Common Factor of 8344 and 8352?

Greatest common factor (GCF) of 8344 and 8352 is 8.

GCF(8344,8352) = 8

We will now calculate the prime factors of 8344 and 8352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8344 and 8352.

How to find the GCF of 8344 and 8352?

We will first find the prime factorization of 8344 and 8352. After we will calculate the factors of 8344 and 8352 and find the biggest common factor number .

Step-1: Prime Factorization of 8344

Prime factors of 8344 are 2, 7, 149. Prime factorization of 8344 in exponential form is:

8344 = 2³ × 7¹ × 149¹

Step-2: Prime Factorization of 8352

Prime factors of 8352 are 2, 3, 29. Prime factorization of 8352 in exponential form is:

8352 = 2⁵ × 3² × 29¹

Step-3: Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172

Step-4: Factors of 8352

List of positive integer factors of 8352 that divides 8344 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8344 and 8352. The biggest common factor number is the GCF number.
So the greatest common factor 8344 and 8352 is 8.

Also check out the Least Common Multiple of 8344 and 8352