What is the Greatest Common Factor of 55926 and 55939?

Greatest common factor (GCF) of 55926 and 55939 is 13.

GCF(55926,55939) = 13

We will now calculate the prime factors of 55926 and 55939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55926 and 55939.

How to find the GCF of 55926 and 55939?

We will first find the prime factorization of 55926 and 55939. After we will calculate the factors of 55926 and 55939 and find the biggest common factor number .

Step-1: Prime Factorization of 55926

Prime factors of 55926 are 2, 3, 13, 239. Prime factorization of 55926 in exponential form is:

55926 = 2¹ × 3² × 13¹ × 239¹

Step-2: Prime Factorization of 55939

Prime factors of 55939 are 13, 331. Prime factorization of 55939 in exponential form is:

55939 = 13² × 331¹

Step-3: Factors of 55926

List of positive integer factors of 55926 that divides 55926 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 239, 478, 717, 1434, 2151, 3107, 4302, 6214, 9321, 18642, 27963

Step-4: Factors of 55939

List of positive integer factors of 55939 that divides 55926 without a remainder.

1, 13, 169, 331, 4303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55926 and 55939. The biggest common factor number is the GCF number.
So the greatest common factor 55926 and 55939 is 13.

Also check out the Least Common Multiple of 55926 and 55939