What is the Greatest Common Factor of 13860 and 13880?

Greatest common factor (GCF) of 13860 and 13880 is 20.

GCF(13860,13880) = 20

We will now calculate the prime factors of 13860 and 13880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13860 and 13880.

How to find the GCF of 13860 and 13880?

We will first find the prime factorization of 13860 and 13880. After we will calculate the factors of 13860 and 13880 and find the biggest common factor number .

Step-1: Prime Factorization of 13860

Prime factors of 13860 are 2, 3, 5, 7, 11. Prime factorization of 13860 in exponential form is:

13860 = 2² × 3² × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 13880

Prime factors of 13880 are 2, 5, 347. Prime factorization of 13880 in exponential form is:

13880 = 2³ × 5¹ × 347¹

Step-3: Factors of 13860

List of positive integer factors of 13860 that divides 13860 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 28, 30, 33, 35, 36, 42, 44, 45, 55, 60, 63, 66, 70, 77, 84, 90, 99, 105, 110, 126, 132, 140, 154, 165, 180, 198, 210, 220, 231, 252, 308, 315, 330, 385, 396, 420, 462, 495, 630, 660, 693, 770, 924, 990, 1155, 1260, 1386, 1540, 1980, 2310, 2772, 3465, 4620, 6930

Step-4: Factors of 13880

List of positive integer factors of 13880 that divides 13860 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 347, 694, 1388, 1735, 2776, 3470, 6940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13860 and 13880. The biggest common factor number is the GCF number.
So the greatest common factor 13860 and 13880 is 20.

Also check out the Least Common Multiple of 13860 and 13880