What is the Greatest Common Factor of 20880 and 20896?

Greatest common factor (GCF) of 20880 and 20896 is 16.

GCF(20880,20896) = 16

We will now calculate the prime factors of 20880 and 20896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20880 and 20896.

How to find the GCF of 20880 and 20896?

We will first find the prime factorization of 20880 and 20896. After we will calculate the factors of 20880 and 20896 and find the biggest common factor number .

Step-1: Prime Factorization of 20880

Prime factors of 20880 are 2, 3, 5, 29. Prime factorization of 20880 in exponential form is:

20880 = 2⁴ × 3² × 5¹ × 29¹

Step-2: Prime Factorization of 20896

Prime factors of 20896 are 2, 653. Prime factorization of 20896 in exponential form is:

20896 = 2⁵ × 653¹

Step-3: Factors of 20880

List of positive integer factors of 20880 that divides 20880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 29, 30, 36, 40, 45, 48, 58, 60, 72, 80, 87, 90, 116, 120, 144, 145, 174, 180, 232, 240, 261, 290, 348, 360, 435, 464, 522, 580, 696, 720, 870, 1044, 1160, 1305, 1392, 1740, 2088, 2320, 2610, 3480, 4176, 5220, 6960, 10440

Step-4: Factors of 20896

List of positive integer factors of 20896 that divides 20880 without a remainder.

1, 2, 4, 8, 16, 32, 653, 1306, 2612, 5224, 10448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20880 and 20896. The biggest common factor number is the GCF number.
So the greatest common factor 20880 and 20896 is 16.

Also check out the Least Common Multiple of 20880 and 20896