What is the Greatest Common Factor of 47680 and 47696?

Greatest common factor (GCF) of 47680 and 47696 is 16.

GCF(47680,47696) = 16

We will now calculate the prime factors of 47680 and 47696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47680 and 47696.

How to find the GCF of 47680 and 47696?

We will first find the prime factorization of 47680 and 47696. After we will calculate the factors of 47680 and 47696 and find the biggest common factor number .

Step-1: Prime Factorization of 47680

Prime factors of 47680 are 2, 5, 149. Prime factorization of 47680 in exponential form is:

47680 = 2⁶ × 5¹ × 149¹

Step-2: Prime Factorization of 47696

Prime factors of 47696 are 2, 11, 271. Prime factorization of 47696 in exponential form is:

47696 = 2⁴ × 11¹ × 271¹

Step-3: Factors of 47680

List of positive integer factors of 47680 that divides 47680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 149, 160, 298, 320, 596, 745, 1192, 1490, 2384, 2980, 4768, 5960, 9536, 11920, 23840

Step-4: Factors of 47696

List of positive integer factors of 47696 that divides 47680 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 271, 542, 1084, 2168, 2981, 4336, 5962, 11924, 23848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47680 and 47696. The biggest common factor number is the GCF number.
So the greatest common factor 47680 and 47696 is 16.

Also check out the Least Common Multiple of 47680 and 47696