What is the Greatest Common Factor of 13932 and 13938?

Greatest common factor (GCF) of 13932 and 13938 is 6.

GCF(13932,13938) = 6

We will now calculate the prime factors of 13932 and 13938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13932 and 13938.

How to find the GCF of 13932 and 13938?

We will first find the prime factorization of 13932 and 13938. After we will calculate the factors of 13932 and 13938 and find the biggest common factor number .

Step-1: Prime Factorization of 13932

Prime factors of 13932 are 2, 3, 43. Prime factorization of 13932 in exponential form is:

13932 = 2² × 3⁴ × 43¹

Step-2: Prime Factorization of 13938

Prime factors of 13938 are 2, 3, 23, 101. Prime factorization of 13938 in exponential form is:

13938 = 2¹ × 3¹ × 23¹ × 101¹

Step-3: Factors of 13932

List of positive integer factors of 13932 that divides 13932 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 81, 86, 108, 129, 162, 172, 258, 324, 387, 516, 774, 1161, 1548, 2322, 3483, 4644, 6966

Step-4: Factors of 13938

List of positive integer factors of 13938 that divides 13932 without a remainder.

1, 2, 3, 6, 23, 46, 69, 101, 138, 202, 303, 606, 2323, 4646, 6969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13932 and 13938. The biggest common factor number is the GCF number.
So the greatest common factor 13932 and 13938 is 6.

Also check out the Least Common Multiple of 13932 and 13938