What is the Greatest Common Factor of 12939 and 12948?

Greatest common factor (GCF) of 12939 and 12948 is 3.

GCF(12939,12948) = 3

We will now calculate the prime factors of 12939 and 12948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12939 and 12948.

How to find the GCF of 12939 and 12948?

We will first find the prime factorization of 12939 and 12948. After we will calculate the factors of 12939 and 12948 and find the biggest common factor number .

Step-1: Prime Factorization of 12939

Prime factors of 12939 are 3, 19, 227. Prime factorization of 12939 in exponential form is:

12939 = 3¹ × 19¹ × 227¹

Step-2: Prime Factorization of 12948

Prime factors of 12948 are 2, 3, 13, 83. Prime factorization of 12948 in exponential form is:

12948 = 2² × 3¹ × 13¹ × 83¹

Step-3: Factors of 12939

List of positive integer factors of 12939 that divides 12939 without a remainder.

1, 3, 19, 57, 227, 681, 4313

Step-4: Factors of 12948

List of positive integer factors of 12948 that divides 12939 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 83, 156, 166, 249, 332, 498, 996, 1079, 2158, 3237, 4316, 6474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12939 and 12948. The biggest common factor number is the GCF number.
So the greatest common factor 12939 and 12948 is 3.

Also check out the Least Common Multiple of 12939 and 12948