What is the Greatest Common Factor of 17928 and 17940?

Greatest common factor (GCF) of 17928 and 17940 is 12.

GCF(17928,17940) = 12

We will now calculate the prime factors of 17928 and 17940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17928 and 17940.

How to find the GCF of 17928 and 17940?

We will first find the prime factorization of 17928 and 17940. After we will calculate the factors of 17928 and 17940 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 17940

Prime factors of 17940 are 2, 3, 5, 13, 23. Prime factorization of 17940 in exponential form is:

17940 = 2² × 3¹ × 5¹ × 13¹ × 23¹

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 17940

List of positive integer factors of 17940 that divides 17928 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 23, 26, 30, 39, 46, 52, 60, 65, 69, 78, 92, 115, 130, 138, 156, 195, 230, 260, 276, 299, 345, 390, 460, 598, 690, 780, 897, 1196, 1380, 1495, 1794, 2990, 3588, 4485, 5980, 8970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17928 and 17940. The biggest common factor number is the GCF number.
So the greatest common factor 17928 and 17940 is 12.

Also check out the Least Common Multiple of 17928 and 17940