What is the Greatest Common Factor of 5940 and 5954?

Greatest common factor (GCF) of 5940 and 5954 is 2.

GCF(5940,5954) = 2

We will now calculate the prime factors of 5940 and 5954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5940 and 5954.

How to find the GCF of 5940 and 5954?

We will first find the prime factorization of 5940 and 5954. After we will calculate the factors of 5940 and 5954 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 5954

Prime factors of 5954 are 2, 13, 229. Prime factorization of 5954 in exponential form is:

5954 = 2¹ × 13¹ × 229¹

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 5954

List of positive integer factors of 5954 that divides 5940 without a remainder.

1, 2, 13, 26, 229, 458, 2977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5940 and 5954. The biggest common factor number is the GCF number.
So the greatest common factor 5940 and 5954 is 2.

Also check out the Least Common Multiple of 5940 and 5954