What is the Greatest Common Factor of 11872 and 11880?

Greatest common factor (GCF) of 11872 and 11880 is 8.

GCF(11872,11880) = 8

We will now calculate the prime factors of 11872 and 11880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11872 and 11880.

How to find the GCF of 11872 and 11880?

We will first find the prime factorization of 11872 and 11880. After we will calculate the factors of 11872 and 11880 and find the biggest common factor number .

Step-1: Prime Factorization of 11872

Prime factors of 11872 are 2, 7, 53. Prime factorization of 11872 in exponential form is:

11872 = 2⁵ × 7¹ × 53¹

Step-2: 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-3: Factors of 11872

List of positive integer factors of 11872 that divides 11872 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 53, 56, 106, 112, 212, 224, 371, 424, 742, 848, 1484, 1696, 2968, 5936

Step-4: Factors of 11880

List of positive integer factors of 11880 that divides 11872 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11872 and 11880. The biggest common factor number is the GCF number.
So the greatest common factor 11872 and 11880 is 8.

Also check out the Least Common Multiple of 11872 and 11880