What is the Greatest Common Factor of 99850 and 99868?

Greatest common factor (GCF) of 99850 and 99868 is 2.

GCF(99850,99868) = 2

We will now calculate the prime factors of 99850 and 99868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99850 and 99868.

How to find the GCF of 99850 and 99868?

We will first find the prime factorization of 99850 and 99868. After we will calculate the factors of 99850 and 99868 and find the biggest common factor number .

Step-1: Prime Factorization of 99850

Prime factors of 99850 are 2, 5, 1997. Prime factorization of 99850 in exponential form is:

99850 = 2¹ × 5² × 1997¹

Step-2: Prime Factorization of 99868

Prime factors of 99868 are 2, 24967. Prime factorization of 99868 in exponential form is:

99868 = 2² × 24967¹

Step-3: Factors of 99850

List of positive integer factors of 99850 that divides 99850 without a remainder.

1, 2, 5, 10, 25, 50, 1997, 3994, 9985, 19970, 49925

Step-4: Factors of 99868

List of positive integer factors of 99868 that divides 99850 without a remainder.

1, 2, 4, 24967, 49934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99850 and 99868. The biggest common factor number is the GCF number.
So the greatest common factor 99850 and 99868 is 2.

Also check out the Least Common Multiple of 99850 and 99868