What is the Greatest Common Factor of 5940 and 5950?

Greatest common factor (GCF) of 5940 and 5950 is 10.

GCF(5940,5950) = 10

We will now calculate the prime factors of 5940 and 5950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5940 and 5950.

How to find the GCF of 5940 and 5950?

We will first find the prime factorization of 5940 and 5950. After we will calculate the factors of 5940 and 5950 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 5950

Prime factors of 5950 are 2, 5, 7, 17. Prime factorization of 5950 in exponential form is:

5950 = 2¹ × 5² × 7¹ × 17¹

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 5950

List of positive integer factors of 5950 that divides 5940 without a remainder.

1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5940 and 5950. The biggest common factor number is the GCF number.
So the greatest common factor 5940 and 5950 is 10.

Also check out the Least Common Multiple of 5940 and 5950