What is the Greatest Common Factor of 13936 and 13949?

Greatest common factor (GCF) of 13936 and 13949 is 13.

GCF(13936,13949) = 13

We will now calculate the prime factors of 13936 and 13949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13936 and 13949.

How to find the GCF of 13936 and 13949?

We will first find the prime factorization of 13936 and 13949. After we will calculate the factors of 13936 and 13949 and find the biggest common factor number .

Step-1: Prime Factorization of 13936

Prime factors of 13936 are 2, 13, 67. Prime factorization of 13936 in exponential form is:

13936 = 2⁴ × 13¹ × 67¹

Step-2: Prime Factorization of 13949

Prime factors of 13949 are 13, 29, 37. Prime factorization of 13949 in exponential form is:

13949 = 13¹ × 29¹ × 37¹

Step-3: Factors of 13936

List of positive integer factors of 13936 that divides 13936 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 67, 104, 134, 208, 268, 536, 871, 1072, 1742, 3484, 6968

Step-4: Factors of 13949

List of positive integer factors of 13949 that divides 13936 without a remainder.

1, 13, 29, 37, 377, 481, 1073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13936 and 13949. The biggest common factor number is the GCF number.
So the greatest common factor 13936 and 13949 is 13.

Also check out the Least Common Multiple of 13936 and 13949