What is the Greatest Common Factor of 47344 and 47360?

Greatest common factor (GCF) of 47344 and 47360 is 16.

GCF(47344,47360) = 16

We will now calculate the prime factors of 47344 and 47360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47344 and 47360.

How to find the GCF of 47344 and 47360?

We will first find the prime factorization of 47344 and 47360. After we will calculate the factors of 47344 and 47360 and find the biggest common factor number .

Step-1: Prime Factorization of 47344

Prime factors of 47344 are 2, 11, 269. Prime factorization of 47344 in exponential form is:

47344 = 2⁴ × 11¹ × 269¹

Step-2: Prime Factorization of 47360

Prime factors of 47360 are 2, 5, 37. Prime factorization of 47360 in exponential form is:

47360 = 2⁸ × 5¹ × 37¹

Step-3: Factors of 47344

List of positive integer factors of 47344 that divides 47344 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 269, 538, 1076, 2152, 2959, 4304, 5918, 11836, 23672

Step-4: Factors of 47360

List of positive integer factors of 47360 that divides 47344 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 64, 74, 80, 128, 148, 160, 185, 256, 296, 320, 370, 592, 640, 740, 1184, 1280, 1480, 2368, 2960, 4736, 5920, 9472, 11840, 23680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47344 and 47360. The biggest common factor number is the GCF number.
So the greatest common factor 47344 and 47360 is 16.

Also check out the Least Common Multiple of 47344 and 47360