What is the Greatest Common Factor of 13924 and 13936?

Greatest common factor (GCF) of 13924 and 13936 is 4.

GCF(13924,13936) = 4

We will now calculate the prime factors of 13924 and 13936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13924 and 13936.

How to find the GCF of 13924 and 13936?

We will first find the prime factorization of 13924 and 13936. After we will calculate the factors of 13924 and 13936 and find the biggest common factor number .

Step-1: Prime Factorization of 13924

Prime factors of 13924 are 2, 59. Prime factorization of 13924 in exponential form is:

13924 = 2² × 59²

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 13924

List of positive integer factors of 13924 that divides 13924 without a remainder.

1, 2, 4, 59, 118, 236, 3481, 6962

Step-4: Factors of 13936

List of positive integer factors of 13936 that divides 13924 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 13924 and 13936. The biggest common factor number is the GCF number.
So the greatest common factor 13924 and 13936 is 4.

Also check out the Least Common Multiple of 13924 and 13936