What is the Greatest Common Factor of 18905 and 18924?

Greatest common factor (GCF) of 18905 and 18924 is 19.

GCF(18905,18924) = 19

We will now calculate the prime factors of 18905 and 18924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18905 and 18924.

How to find the GCF of 18905 and 18924?

We will first find the prime factorization of 18905 and 18924. After we will calculate the factors of 18905 and 18924 and find the biggest common factor number .

Step-1: Prime Factorization of 18905

Prime factors of 18905 are 5, 19, 199. Prime factorization of 18905 in exponential form is:

18905 = 5¹ × 19¹ × 199¹

Step-2: Prime Factorization of 18924

Prime factors of 18924 are 2, 3, 19, 83. Prime factorization of 18924 in exponential form is:

18924 = 2² × 3¹ × 19¹ × 83¹

Step-3: Factors of 18905

List of positive integer factors of 18905 that divides 18905 without a remainder.

1, 5, 19, 95, 199, 995, 3781

Step-4: Factors of 18924

List of positive integer factors of 18924 that divides 18905 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 83, 114, 166, 228, 249, 332, 498, 996, 1577, 3154, 4731, 6308, 9462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18905 and 18924. The biggest common factor number is the GCF number.
So the greatest common factor 18905 and 18924 is 19.

Also check out the Least Common Multiple of 18905 and 18924