What is the Greatest Common Factor of 11880 and 11896?

Greatest common factor (GCF) of 11880 and 11896 is 8.

GCF(11880,11896) = 8

We will now calculate the prime factors of 11880 and 11896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11880 and 11896.

How to find the GCF of 11880 and 11896?

We will first find the prime factorization of 11880 and 11896. After we will calculate the factors of 11880 and 11896 and find the biggest common factor number .

Step-1: Prime Factorization of 11880

Prime factors of 11880 are 2, 3, 5, 11. Prime factorization of 11880 in exponential form is:

11880 = 2³ × 3³ × 5¹ × 11¹

Step-2: Prime Factorization of 11896

Prime factors of 11896 are 2, 1487. Prime factorization of 11896 in exponential form is:

11896 = 2³ × 1487¹

Step-3: Factors of 11880

List of positive integer factors of 11880 that divides 11880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 27, 30, 33, 36, 40, 44, 45, 54, 55, 60, 66, 72, 88, 90, 99, 108, 110, 120, 132, 135, 165, 180, 198, 216, 220, 264, 270, 297, 330, 360, 396, 440, 495, 540, 594, 660, 792, 990, 1080, 1188, 1320, 1485, 1980, 2376, 2970, 3960, 5940

Step-4: Factors of 11896

List of positive integer factors of 11896 that divides 11880 without a remainder.

1, 2, 4, 8, 1487, 2974, 5948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11880 and 11896. The biggest common factor number is the GCF number.
So the greatest common factor 11880 and 11896 is 8.

Also check out the Least Common Multiple of 11880 and 11896