What is the Greatest Common Factor of 11848 and 11856?

Greatest common factor (GCF) of 11848 and 11856 is 8.

GCF(11848,11856) = 8

We will now calculate the prime factors of 11848 and 11856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11848 and 11856.

How to find the GCF of 11848 and 11856?

We will first find the prime factorization of 11848 and 11856. After we will calculate the factors of 11848 and 11856 and find the biggest common factor number .

Step-1: Prime Factorization of 11848

Prime factors of 11848 are 2, 1481. Prime factorization of 11848 in exponential form is:

11848 = 2³ × 1481¹

Step-2: 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-3: Factors of 11848

List of positive integer factors of 11848 that divides 11848 without a remainder.

1, 2, 4, 8, 1481, 2962, 5924

Step-4: Factors of 11856

List of positive integer factors of 11856 that divides 11848 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11848 and 11856. The biggest common factor number is the GCF number.
So the greatest common factor 11848 and 11856 is 8.

Also check out the Least Common Multiple of 11848 and 11856