What is the Greatest Common Factor of 55738 and 55742?

Greatest common factor (GCF) of 55738 and 55742 is 2.

GCF(55738,55742) = 2

We will now calculate the prime factors of 55738 and 55742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55738 and 55742.

How to find the GCF of 55738 and 55742?

We will first find the prime factorization of 55738 and 55742. After we will calculate the factors of 55738 and 55742 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 55742

Prime factors of 55742 are 2, 47, 593. Prime factorization of 55742 in exponential form is:

55742 = 2¹ × 47¹ × 593¹

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 55742

List of positive integer factors of 55742 that divides 55738 without a remainder.

1, 2, 47, 94, 593, 1186, 27871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55738 and 55742. The biggest common factor number is the GCF number.
So the greatest common factor 55738 and 55742 is 2.

Also check out the Least Common Multiple of 55738 and 55742