What is the Greatest Common Factor of 18924 and 18943?

Greatest common factor (GCF) of 18924 and 18943 is 19.

GCF(18924,18943) = 19

We will now calculate the prime factors of 18924 and 18943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18924 and 18943.

How to find the GCF of 18924 and 18943?

We will first find the prime factorization of 18924 and 18943. After we will calculate the factors of 18924 and 18943 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18943

Prime factors of 18943 are 19, 997. Prime factorization of 18943 in exponential form is:

18943 = 19¹ × 997¹

Step-3: Factors of 18924

List of positive integer factors of 18924 that divides 18924 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

Step-4: Factors of 18943

List of positive integer factors of 18943 that divides 18924 without a remainder.

1, 19, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18924 and 18943. The biggest common factor number is the GCF number.
So the greatest common factor 18924 and 18943 is 19.

Also check out the Least Common Multiple of 18924 and 18943