What is the Greatest Common Factor of 99938 and 99950?

Greatest common factor (GCF) of 99938 and 99950 is 2.

GCF(99938,99950) = 2

We will now calculate the prime factors of 99938 and 99950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99938 and 99950.

How to find the GCF of 99938 and 99950?

We will first find the prime factorization of 99938 and 99950. After we will calculate the factors of 99938 and 99950 and find the biggest common factor number .

Step-1: Prime Factorization of 99938

Prime factors of 99938 are 2, 107, 467. Prime factorization of 99938 in exponential form is:

99938 = 2¹ × 107¹ × 467¹

Step-2: Prime Factorization of 99950

Prime factors of 99950 are 2, 5, 1999. Prime factorization of 99950 in exponential form is:

99950 = 2¹ × 5² × 1999¹

Step-3: Factors of 99938

List of positive integer factors of 99938 that divides 99938 without a remainder.

1, 2, 107, 214, 467, 934, 49969

Step-4: Factors of 99950

List of positive integer factors of 99950 that divides 99938 without a remainder.

1, 2, 5, 10, 25, 50, 1999, 3998, 9995, 19990, 49975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99938 and 99950. The biggest common factor number is the GCF number.
So the greatest common factor 99938 and 99950 is 2.

Also check out the Least Common Multiple of 99938 and 99950