What is the Greatest Common Factor of 13916 and 13936?

Greatest common factor (GCF) of 13916 and 13936 is 4.

GCF(13916,13936) = 4

We will now calculate the prime factors of 13916 and 13936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13916 and 13936.

How to find the GCF of 13916 and 13936?

We will first find the prime factorization of 13916 and 13936. After we will calculate the factors of 13916 and 13936 and find the biggest common factor number .

Step-1: Prime Factorization of 13916

Prime factors of 13916 are 2, 7, 71. Prime factorization of 13916 in exponential form is:

13916 = 2² × 7² × 71¹

Step-2: 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-3: Factors of 13916

List of positive integer factors of 13916 that divides 13916 without a remainder.

1, 2, 4, 7, 14, 28, 49, 71, 98, 142, 196, 284, 497, 994, 1988, 3479, 6958

Step-4: Factors of 13936

List of positive integer factors of 13936 that divides 13916 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13916 and 13936. The biggest common factor number is the GCF number.
So the greatest common factor 13916 and 13936 is 4.

Also check out the Least Common Multiple of 13916 and 13936