What is the Greatest Common Factor of 11840 and 11860?

Greatest common factor (GCF) of 11840 and 11860 is 20.

GCF(11840,11860) = 20

We will now calculate the prime factors of 11840 and 11860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11840 and 11860.

How to find the GCF of 11840 and 11860?

We will first find the prime factorization of 11840 and 11860. After we will calculate the factors of 11840 and 11860 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 11860

Prime factors of 11860 are 2, 5, 593. Prime factorization of 11860 in exponential form is:

11860 = 2² × 5¹ × 593¹

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 11860

List of positive integer factors of 11860 that divides 11840 without a remainder.

1, 2, 4, 5, 10, 20, 593, 1186, 2372, 2965, 5930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11840 and 11860. The biggest common factor number is the GCF number.
So the greatest common factor 11840 and 11860 is 20.

Also check out the Least Common Multiple of 11840 and 11860