What is the Greatest Common Factor of 11840 and 11856?

Greatest common factor (GCF) of 11840 and 11856 is 16.

GCF(11840,11856) = 16

We will now calculate the prime factors of 11840 and 11856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11840 and 11856.

How to find the GCF of 11840 and 11856?

We will first find the prime factorization of 11840 and 11856. After we will calculate the factors of 11840 and 11856 and find the biggest common factor number .

Step-1: Prime Factorization of 11840

Prime factors of 11840 are 2, 5, 37. Prime factorization of 11840 in exponential form is:

11840 = 2⁶ × 5¹ × 37¹

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 11840

List of positive integer factors of 11840 that divides 11840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 64, 74, 80, 148, 160, 185, 296, 320, 370, 592, 740, 1184, 1480, 2368, 2960, 5920

Step-4: Factors of 11856

List of positive integer factors of 11856 that divides 11840 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 11840 and 11856. The biggest common factor number is the GCF number.
So the greatest common factor 11840 and 11856 is 16.

Also check out the Least Common Multiple of 11840 and 11856