What is the Greatest Common Factor of 11856 and 11871?

Greatest common factor (GCF) of 11856 and 11871 is 3.

GCF(11856,11871) = 3

We will now calculate the prime factors of 11856 and 11871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11856 and 11871.

How to find the GCF of 11856 and 11871?

We will first find the prime factorization of 11856 and 11871. After we will calculate the factors of 11856 and 11871 and find the biggest common factor number .

Step-1: Prime Factorization of 11856

Prime factors of 11856 are 2, 3, 13, 19. Prime factorization of 11856 in exponential form is:

11856 = 2⁴ × 3¹ × 13¹ × 19¹

Step-2: Prime Factorization of 11871

Prime factors of 11871 are 3, 1319. Prime factorization of 11871 in exponential form is:

11871 = 3² × 1319¹

Step-3: Factors of 11856

List of positive integer factors of 11856 that divides 11856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 19, 24, 26, 38, 39, 48, 52, 57, 76, 78, 104, 114, 152, 156, 208, 228, 247, 304, 312, 456, 494, 624, 741, 912, 988, 1482, 1976, 2964, 3952, 5928

Step-4: Factors of 11871

List of positive integer factors of 11871 that divides 11856 without a remainder.

1, 3, 9, 1319, 3957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11856 and 11871. The biggest common factor number is the GCF number.
So the greatest common factor 11856 and 11871 is 3.

Also check out the Least Common Multiple of 11856 and 11871