What is the Greatest Common Factor of 99921 and 99940?

Greatest common factor (GCF) of 99921 and 99940 is 19.

GCF(99921,99940) = 19

We will now calculate the prime factors of 99921 and 99940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99921 and 99940.

How to find the GCF of 99921 and 99940?

We will first find the prime factorization of 99921 and 99940. After we will calculate the factors of 99921 and 99940 and find the biggest common factor number .

Step-1: Prime Factorization of 99921

Prime factors of 99921 are 3, 19, 1753. Prime factorization of 99921 in exponential form is:

99921 = 3¹ × 19¹ × 1753¹

Step-2: Prime Factorization of 99940

Prime factors of 99940 are 2, 5, 19, 263. Prime factorization of 99940 in exponential form is:

99940 = 2² × 5¹ × 19¹ × 263¹

Step-3: Factors of 99921

List of positive integer factors of 99921 that divides 99921 without a remainder.

1, 3, 19, 57, 1753, 5259, 33307

Step-4: Factors of 99940

List of positive integer factors of 99940 that divides 99921 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 263, 380, 526, 1052, 1315, 2630, 4997, 5260, 9994, 19988, 24985, 49970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99921 and 99940. The biggest common factor number is the GCF number.
So the greatest common factor 99921 and 99940 is 19.

Also check out the Least Common Multiple of 99921 and 99940