What is the Greatest Common Factor of 11856 and 11874?

Greatest common factor (GCF) of 11856 and 11874 is 6.

GCF(11856,11874) = 6

We will now calculate the prime factors of 11856 and 11874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11856 and 11874.

How to find the GCF of 11856 and 11874?

We will first find the prime factorization of 11856 and 11874. After we will calculate the factors of 11856 and 11874 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 11874

Prime factors of 11874 are 2, 3, 1979. Prime factorization of 11874 in exponential form is:

11874 = 2¹ × 3¹ × 1979¹

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 11874

List of positive integer factors of 11874 that divides 11856 without a remainder.

1, 2, 3, 6, 1979, 3958, 5937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11856 and 11874. The biggest common factor number is the GCF number.
So the greatest common factor 11856 and 11874 is 6.

Also check out the Least Common Multiple of 11856 and 11874