What is the Greatest Common Factor of 93939 and 93948?

Greatest common factor (GCF) of 93939 and 93948 is 3.

GCF(93939,93948) = 3

We will now calculate the prime factors of 93939 and 93948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93939 and 93948.

How to find the GCF of 93939 and 93948?

We will first find the prime factorization of 93939 and 93948. After we will calculate the factors of 93939 and 93948 and find the biggest common factor number .

Step-1: Prime Factorization of 93939

Prime factors of 93939 are 3, 173, 181. Prime factorization of 93939 in exponential form is:

93939 = 3¹ × 173¹ × 181¹

Step-2: Prime Factorization of 93948

Prime factors of 93948 are 2, 3, 7829. Prime factorization of 93948 in exponential form is:

93948 = 2² × 3¹ × 7829¹

Step-3: Factors of 93939

List of positive integer factors of 93939 that divides 93939 without a remainder.

1, 3, 173, 181, 519, 543, 31313

Step-4: Factors of 93948

List of positive integer factors of 93948 that divides 93939 without a remainder.

1, 2, 3, 4, 6, 12, 7829, 15658, 23487, 31316, 46974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93939 and 93948. The biggest common factor number is the GCF number.
So the greatest common factor 93939 and 93948 is 3.

Also check out the Least Common Multiple of 93939 and 93948