What is the Greatest Common Factor of 49950 and 49965?

Greatest common factor (GCF) of 49950 and 49965 is 15.

GCF(49950,49965) = 15

We will now calculate the prime factors of 49950 and 49965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49950 and 49965.

How to find the GCF of 49950 and 49965?

We will first find the prime factorization of 49950 and 49965. After we will calculate the factors of 49950 and 49965 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49965

Prime factors of 49965 are 3, 5, 3331. Prime factorization of 49965 in exponential form is:

49965 = 3¹ × 5¹ × 3331¹

Step-3: Factors of 49950

List of positive integer factors of 49950 that divides 49950 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

Step-4: Factors of 49965

List of positive integer factors of 49965 that divides 49950 without a remainder.

1, 3, 5, 15, 3331, 9993, 16655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49950 and 49965. The biggest common factor number is the GCF number.
So the greatest common factor 49950 and 49965 is 15.

Also check out the Least Common Multiple of 49950 and 49965