What is the Greatest Common Factor of 20856 and 20862?

Greatest common factor (GCF) of 20856 and 20862 is 6.

GCF(20856,20862) = 6

We will now calculate the prime factors of 20856 and 20862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20856 and 20862.

How to find the GCF of 20856 and 20862?

We will first find the prime factorization of 20856 and 20862. After we will calculate the factors of 20856 and 20862 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20862

Prime factors of 20862 are 2, 3, 19, 61. Prime factorization of 20862 in exponential form is:

20862 = 2¹ × 3² × 19¹ × 61¹

Step-3: Factors of 20856

List of positive integer factors of 20856 that divides 20856 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

Step-4: Factors of 20862

List of positive integer factors of 20862 that divides 20856 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 61, 114, 122, 171, 183, 342, 366, 549, 1098, 1159, 2318, 3477, 6954, 10431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20856 and 20862. The biggest common factor number is the GCF number.
So the greatest common factor 20856 and 20862 is 6.

Also check out the Least Common Multiple of 20856 and 20862