What is the Greatest Common Factor of 5928 and 5940?

Greatest common factor (GCF) of 5928 and 5940 is 12.

GCF(5928,5940) = 12

We will now calculate the prime factors of 5928 and 5940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5928 and 5940.

How to find the GCF of 5928 and 5940?

We will first find the prime factorization of 5928 and 5940. After we will calculate the factors of 5928 and 5940 and find the biggest common factor number .

Step-1: Prime Factorization of 5928

Prime factors of 5928 are 2, 3, 13, 19. Prime factorization of 5928 in exponential form is:

5928 = 2³ × 3¹ × 13¹ × 19¹

Step-2: Prime Factorization of 5940

Prime factors of 5940 are 2, 3, 5, 11. Prime factorization of 5940 in exponential form is:

5940 = 2² × 3³ × 5¹ × 11¹

Step-3: Factors of 5928

List of positive integer factors of 5928 that divides 5928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964

Step-4: Factors of 5940

List of positive integer factors of 5940 that divides 5928 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5928 and 5940. The biggest common factor number is the GCF number.
So the greatest common factor 5928 and 5940 is 12.

Also check out the Least Common Multiple of 5928 and 5940