What is the Greatest Common Factor of 5920 and 5940?

Greatest common factor (GCF) of 5920 and 5940 is 20.

GCF(5920,5940) = 20

We will now calculate the prime factors of 5920 and 5940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5920 and 5940.

How to find the GCF of 5920 and 5940?

We will first find the prime factorization of 5920 and 5940. After we will calculate the factors of 5920 and 5940 and find the biggest common factor number .

Step-1: Prime Factorization of 5920

Prime factors of 5920 are 2, 5, 37. Prime factorization of 5920 in exponential form is:

5920 = 2⁵ × 5¹ × 37¹

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 5920

List of positive integer factors of 5920 that divides 5920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960

Step-4: Factors of 5940

List of positive integer factors of 5940 that divides 5920 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 5920 and 5940. The biggest common factor number is the GCF number.
So the greatest common factor 5920 and 5940 is 20.

Also check out the Least Common Multiple of 5920 and 5940