What is the Greatest Common Factor of 23680 and 23696?

Greatest common factor (GCF) of 23680 and 23696 is 16.

GCF(23680,23696) = 16

We will now calculate the prime factors of 23680 and 23696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23680 and 23696.

How to find the GCF of 23680 and 23696?

We will first find the prime factorization of 23680 and 23696. After we will calculate the factors of 23680 and 23696 and find the biggest common factor number .

Step-1: Prime Factorization of 23680

Prime factors of 23680 are 2, 5, 37. Prime factorization of 23680 in exponential form is:

23680 = 2⁷ × 5¹ × 37¹

Step-2: Prime Factorization of 23696

Prime factors of 23696 are 2, 1481. Prime factorization of 23696 in exponential form is:

23696 = 2⁴ × 1481¹

Step-3: Factors of 23680

List of positive integer factors of 23680 that divides 23680 without a remainder.

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

Step-4: Factors of 23696

List of positive integer factors of 23696 that divides 23680 without a remainder.

1, 2, 4, 8, 16, 1481, 2962, 5924, 11848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23680 and 23696. The biggest common factor number is the GCF number.
So the greatest common factor 23680 and 23696 is 16.

Also check out the Least Common Multiple of 23680 and 23696