What is the Greatest Common Factor of 99939 and 99948?

Greatest common factor (GCF) of 99939 and 99948 is 3.

GCF(99939,99948) = 3

We will now calculate the prime factors of 99939 and 99948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99939 and 99948.

How to find the GCF of 99939 and 99948?

We will first find the prime factorization of 99939 and 99948. After we will calculate the factors of 99939 and 99948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99948

Prime factors of 99948 are 2, 3, 8329. Prime factorization of 99948 in exponential form is:

99948 = 2² × 3¹ × 8329¹

Step-3: Factors of 99939

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

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

Step-4: Factors of 99948

List of positive integer factors of 99948 that divides 99939 without a remainder.

1, 2, 3, 4, 6, 12, 8329, 16658, 24987, 33316, 49974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99939 and 99948. The biggest common factor number is the GCF number.
So the greatest common factor 99939 and 99948 is 3.

Also check out the Least Common Multiple of 99939 and 99948