What is the Greatest Common Factor of 54736 and 54742?

Greatest common factor (GCF) of 54736 and 54742 is 2.

GCF(54736,54742) = 2

We will now calculate the prime factors of 54736 and 54742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54736 and 54742.

How to find the GCF of 54736 and 54742?

We will first find the prime factorization of 54736 and 54742. After we will calculate the factors of 54736 and 54742 and find the biggest common factor number .

Step-1: Prime Factorization of 54736

Prime factors of 54736 are 2, 11, 311. Prime factorization of 54736 in exponential form is:

54736 = 2⁴ × 11¹ × 311¹

Step-2: Prime Factorization of 54742

Prime factors of 54742 are 2, 101, 271. Prime factorization of 54742 in exponential form is:

54742 = 2¹ × 101¹ × 271¹

Step-3: Factors of 54736

List of positive integer factors of 54736 that divides 54736 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 311, 622, 1244, 2488, 3421, 4976, 6842, 13684, 27368

Step-4: Factors of 54742

List of positive integer factors of 54742 that divides 54736 without a remainder.

1, 2, 101, 202, 271, 542, 27371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54736 and 54742. The biggest common factor number is the GCF number.
So the greatest common factor 54736 and 54742 is 2.

Also check out the Least Common Multiple of 54736 and 54742