What is the Greatest Common Factor of 20845 and 20856?

Greatest common factor (GCF) of 20845 and 20856 is 11.

GCF(20845,20856) = 11

We will now calculate the prime factors of 20845 and 20856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20845 and 20856.

How to find the GCF of 20845 and 20856?

We will first find the prime factorization of 20845 and 20856. After we will calculate the factors of 20845 and 20856 and find the biggest common factor number .

Step-1: Prime Factorization of 20845

Prime factors of 20845 are 5, 11, 379. Prime factorization of 20845 in exponential form is:

20845 = 5¹ × 11¹ × 379¹

Step-2: Prime Factorization of 20856

Prime factors of 20856 are 2, 3, 11, 79. Prime factorization of 20856 in exponential form is:

20856 = 2³ × 3¹ × 11¹ × 79¹

Step-3: Factors of 20845

List of positive integer factors of 20845 that divides 20845 without a remainder.

1, 5, 11, 55, 379, 1895, 4169

Step-4: Factors of 20856

List of positive integer factors of 20856 that divides 20845 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 79, 88, 132, 158, 237, 264, 316, 474, 632, 869, 948, 1738, 1896, 2607, 3476, 5214, 6952, 10428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20845 and 20856. The biggest common factor number is the GCF number.
So the greatest common factor 20845 and 20856 is 11.

Also check out the Least Common Multiple of 20845 and 20856