What is the Greatest Common Factor of 18924 and 18944?

Greatest common factor (GCF) of 18924 and 18944 is 4.

GCF(18924,18944) = 4

We will now calculate the prime factors of 18924 and 18944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18924 and 18944.

How to find the GCF of 18924 and 18944?

We will first find the prime factorization of 18924 and 18944. After we will calculate the factors of 18924 and 18944 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 18944

Prime factors of 18944 are 2, 37. Prime factorization of 18944 in exponential form is:

18944 = 2⁹ × 37¹

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 18944

List of positive integer factors of 18944 that divides 18924 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 512, 592, 1184, 2368, 4736, 9472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18924 and 18944. The biggest common factor number is the GCF number.
So the greatest common factor 18924 and 18944 is 4.

Also check out the Least Common Multiple of 18924 and 18944