What is the Greatest Common Factor of 49950 and 49955?

Greatest common factor (GCF) of 49950 and 49955 is 5.

GCF(49950,49955) = 5

We will now calculate the prime factors of 49950 and 49955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49950 and 49955.

How to find the GCF of 49950 and 49955?

We will first find the prime factorization of 49950 and 49955. After we will calculate the factors of 49950 and 49955 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 49955

Prime factors of 49955 are 5, 97, 103. Prime factorization of 49955 in exponential form is:

49955 = 5¹ × 97¹ × 103¹

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 49955

List of positive integer factors of 49955 that divides 49950 without a remainder.

1, 5, 97, 103, 485, 515, 9991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49950 and 49955. The biggest common factor number is the GCF number.
So the greatest common factor 49950 and 49955 is 5.

Also check out the Least Common Multiple of 49950 and 49955