What is the Greatest Common Factor of 20876 and 20880?

Greatest common factor (GCF) of 20876 and 20880 is 4.

GCF(20876,20880) = 4

We will now calculate the prime factors of 20876 and 20880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20876 and 20880.

How to find the GCF of 20876 and 20880?

We will first find the prime factorization of 20876 and 20880. After we will calculate the factors of 20876 and 20880 and find the biggest common factor number .

Step-1: Prime Factorization of 20876

Prime factors of 20876 are 2, 17, 307. Prime factorization of 20876 in exponential form is:

20876 = 2² × 17¹ × 307¹

Step-2: 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-3: Factors of 20876

List of positive integer factors of 20876 that divides 20876 without a remainder.

1, 2, 4, 17, 34, 68, 307, 614, 1228, 5219, 10438

Step-4: Factors of 20880

List of positive integer factors of 20880 that divides 20876 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20876 and 20880. The biggest common factor number is the GCF number.
So the greatest common factor 20876 and 20880 is 4.

Also check out the Least Common Multiple of 20876 and 20880