What is the Greatest Common Factor of 55738 and 55756?

Greatest common factor (GCF) of 55738 and 55756 is 2.

GCF(55738,55756) = 2

We will now calculate the prime factors of 55738 and 55756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55738 and 55756.

How to find the GCF of 55738 and 55756?

We will first find the prime factorization of 55738 and 55756. After we will calculate the factors of 55738 and 55756 and find the biggest common factor number .

Step-1: Prime Factorization of 55738

Prime factors of 55738 are 2, 29, 31. Prime factorization of 55738 in exponential form is:

55738 = 2¹ × 29¹ × 31²

Step-2: Prime Factorization of 55756

Prime factors of 55756 are 2, 53, 263. Prime factorization of 55756 in exponential form is:

55756 = 2² × 53¹ × 263¹

Step-3: Factors of 55738

List of positive integer factors of 55738 that divides 55738 without a remainder.

1, 2, 29, 31, 58, 62, 899, 961, 1798, 1922, 27869

Step-4: Factors of 55756

List of positive integer factors of 55756 that divides 55738 without a remainder.

1, 2, 4, 53, 106, 212, 263, 526, 1052, 13939, 27878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55738 and 55756. The biggest common factor number is the GCF number.
So the greatest common factor 55738 and 55756 is 2.

Also check out the Least Common Multiple of 55738 and 55756