What is the Greatest Common Factor of 20988 and 20999?

Greatest common factor (GCF) of 20988 and 20999 is 11.

GCF(20988,20999) = 11

We will now calculate the prime factors of 20988 and 20999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20988 and 20999.

How to find the GCF of 20988 and 20999?

We will first find the prime factorization of 20988 and 20999. After we will calculate the factors of 20988 and 20999 and find the biggest common factor number .

Step-1: Prime Factorization of 20988

Prime factors of 20988 are 2, 3, 11, 53. Prime factorization of 20988 in exponential form is:

20988 = 2² × 3² × 11¹ × 53¹

Step-2: Prime Factorization of 20999

Prime factors of 20999 are 11, 23, 83. Prime factorization of 20999 in exponential form is:

20999 = 11¹ × 23¹ × 83¹

Step-3: Factors of 20988

List of positive integer factors of 20988 that divides 20988 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 53, 66, 99, 106, 132, 159, 198, 212, 318, 396, 477, 583, 636, 954, 1166, 1749, 1908, 2332, 3498, 5247, 6996, 10494

Step-4: Factors of 20999

List of positive integer factors of 20999 that divides 20988 without a remainder.

1, 11, 23, 83, 253, 913, 1909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20988 and 20999. The biggest common factor number is the GCF number.
So the greatest common factor 20988 and 20999 is 11.

Also check out the Least Common Multiple of 20988 and 20999