What is the Greatest Common Factor of 20856 and 20865?

Greatest common factor (GCF) of 20856 and 20865 is 3.

GCF(20856,20865) = 3

We will now calculate the prime factors of 20856 and 20865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20856 and 20865.

How to find the GCF of 20856 and 20865?

We will first find the prime factorization of 20856 and 20865. After we will calculate the factors of 20856 and 20865 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 20865

Prime factors of 20865 are 3, 5, 13, 107. Prime factorization of 20865 in exponential form is:

20865 = 3¹ × 5¹ × 13¹ × 107¹

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 20865

List of positive integer factors of 20865 that divides 20856 without a remainder.

1, 3, 5, 13, 15, 39, 65, 107, 195, 321, 535, 1391, 1605, 4173, 6955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20856 and 20865. The biggest common factor number is the GCF number.
So the greatest common factor 20856 and 20865 is 3.

Also check out the Least Common Multiple of 20856 and 20865