What is the Greatest Common Factor of 49930 and 49950?

Greatest common factor (GCF) of 49930 and 49950 is 10.

GCF(49930,49950) = 10

We will now calculate the prime factors of 49930 and 49950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49930 and 49950.

How to find the GCF of 49930 and 49950?

We will first find the prime factorization of 49930 and 49950. After we will calculate the factors of 49930 and 49950 and find the biggest common factor number .

Step-1: Prime Factorization of 49930

Prime factors of 49930 are 2, 5, 4993. Prime factorization of 49930 in exponential form is:

49930 = 2¹ × 5¹ × 4993¹

Step-2: Prime Factorization of 49950

Prime factors of 49950 are 2, 3, 5, 37. Prime factorization of 49950 in exponential form is:

49950 = 2¹ × 3³ × 5² × 37¹

Step-3: Factors of 49930

List of positive integer factors of 49930 that divides 49930 without a remainder.

1, 2, 5, 10, 4993, 9986, 24965

Step-4: Factors of 49950

List of positive integer factors of 49950 that divides 49930 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 37, 45, 50, 54, 74, 75, 90, 111, 135, 150, 185, 222, 225, 270, 333, 370, 450, 555, 666, 675, 925, 999, 1110, 1350, 1665, 1850, 1998, 2775, 3330, 4995, 5550, 8325, 9990, 16650, 24975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49930 and 49950. The biggest common factor number is the GCF number.
So the greatest common factor 49930 and 49950 is 10.

Also check out the Least Common Multiple of 49930 and 49950