What is the Greatest Common Factor of 5940 and 5951?

Greatest common factor (GCF) of 5940 and 5951 is 11.

GCF(5940,5951) = 11

We will now calculate the prime factors of 5940 and 5951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5940 and 5951.

How to find the GCF of 5940 and 5951?

We will first find the prime factorization of 5940 and 5951. After we will calculate the factors of 5940 and 5951 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5951

Prime factors of 5951 are 11, 541. Prime factorization of 5951 in exponential form is:

5951 = 11¹ × 541¹

Step-3: Factors of 5940

List of positive integer factors of 5940 that divides 5940 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

Step-4: Factors of 5951

List of positive integer factors of 5951 that divides 5940 without a remainder.

1, 11, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5940 and 5951. The biggest common factor number is the GCF number.
So the greatest common factor 5940 and 5951 is 11.

Also check out the Least Common Multiple of 5940 and 5951