What is the Greatest Common Factor of 51728 and 51742?

Greatest common factor (GCF) of 51728 and 51742 is 2.

GCF(51728,51742) = 2

We will now calculate the prime factors of 51728 and 51742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51728 and 51742.

How to find the GCF of 51728 and 51742?

We will first find the prime factorization of 51728 and 51742. After we will calculate the factors of 51728 and 51742 and find the biggest common factor number .

Step-1: Prime Factorization of 51728

Prime factors of 51728 are 2, 53, 61. Prime factorization of 51728 in exponential form is:

51728 = 2⁴ × 53¹ × 61¹

Step-2: Prime Factorization of 51742

Prime factors of 51742 are 2, 41, 631. Prime factorization of 51742 in exponential form is:

51742 = 2¹ × 41¹ × 631¹

Step-3: Factors of 51728

List of positive integer factors of 51728 that divides 51728 without a remainder.

1, 2, 4, 8, 16, 53, 61, 106, 122, 212, 244, 424, 488, 848, 976, 3233, 6466, 12932, 25864

Step-4: Factors of 51742

List of positive integer factors of 51742 that divides 51728 without a remainder.

1, 2, 41, 82, 631, 1262, 25871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51728 and 51742. The biggest common factor number is the GCF number.
So the greatest common factor 51728 and 51742 is 2.

Also check out the Least Common Multiple of 51728 and 51742