What is the Greatest Common Factor of 17928 and 17938?

Greatest common factor (GCF) of 17928 and 17938 is 2.

GCF(17928,17938) = 2

We will now calculate the prime factors of 17928 and 17938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17928 and 17938.

How to find the GCF of 17928 and 17938?

We will first find the prime factorization of 17928 and 17938. After we will calculate the factors of 17928 and 17938 and find the biggest common factor number .

Step-1: Prime Factorization of 17928

Prime factors of 17928 are 2, 3, 83. Prime factorization of 17928 in exponential form is:

17928 = 2³ × 3³ × 83¹

Step-2: Prime Factorization of 17938

Prime factors of 17938 are 2, 8969. Prime factorization of 17938 in exponential form is:

17938 = 2¹ × 8969¹

Step-3: Factors of 17928

List of positive integer factors of 17928 that divides 17928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 83, 108, 166, 216, 249, 332, 498, 664, 747, 996, 1494, 1992, 2241, 2988, 4482, 5976, 8964

Step-4: Factors of 17938

List of positive integer factors of 17938 that divides 17928 without a remainder.

1, 2, 8969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17928 and 17938. The biggest common factor number is the GCF number.
So the greatest common factor 17928 and 17938 is 2.

Also check out the Least Common Multiple of 17928 and 17938