What is the Greatest Common Factor of 30888 and 30899?

Greatest common factor (GCF) of 30888 and 30899 is 11.

GCF(30888,30899) = 11

We will now calculate the prime factors of 30888 and 30899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30888 and 30899.

How to find the GCF of 30888 and 30899?

We will first find the prime factorization of 30888 and 30899. After we will calculate the factors of 30888 and 30899 and find the biggest common factor number .

Step-1: Prime Factorization of 30888

Prime factors of 30888 are 2, 3, 11, 13. Prime factorization of 30888 in exponential form is:

30888 = 2³ × 3³ × 11¹ × 13¹

Step-2: Prime Factorization of 30899

Prime factors of 30899 are 11, 53. Prime factorization of 30899 in exponential form is:

30899 = 11¹ × 53²

Step-3: Factors of 30888

List of positive integer factors of 30888 that divides 30888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 18, 22, 24, 26, 27, 33, 36, 39, 44, 52, 54, 66, 72, 78, 88, 99, 104, 108, 117, 132, 143, 156, 198, 216, 234, 264, 286, 297, 312, 351, 396, 429, 468, 572, 594, 702, 792, 858, 936, 1144, 1188, 1287, 1404, 1716, 2376, 2574, 2808, 3432, 3861, 5148, 7722, 10296, 15444

Step-4: Factors of 30899

List of positive integer factors of 30899 that divides 30888 without a remainder.

1, 11, 53, 583, 2809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30888 and 30899. The biggest common factor number is the GCF number.
So the greatest common factor 30888 and 30899 is 11.

Also check out the Least Common Multiple of 30888 and 30899