What is the Greatest Common Factor of 99921 and 99939?

Greatest common factor (GCF) of 99921 and 99939 is 3.

GCF(99921,99939) = 3

We will now calculate the prime factors of 99921 and 99939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99921 and 99939.

How to find the GCF of 99921 and 99939?

We will first find the prime factorization of 99921 and 99939. After we will calculate the factors of 99921 and 99939 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 99939

Prime factors of 99939 are 3, 7, 4759. Prime factorization of 99939 in exponential form is:

99939 = 3¹ × 7¹ × 4759¹

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 99939

List of positive integer factors of 99939 that divides 99921 without a remainder.

1, 3, 7, 21, 4759, 14277, 33313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99921 and 99939. The biggest common factor number is the GCF number.
So the greatest common factor 99921 and 99939 is 3.

Also check out the Least Common Multiple of 99921 and 99939