What is the Greatest Common Factor of 51742 and 51759?

Greatest common factor (GCF) of 51742 and 51759 is 1.

GCF(51742,51759) = 1

We will now calculate the prime factors of 51742 and 51759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51742 and 51759.

How to find the GCF of 51742 and 51759?

We will first find the prime factorization of 51742 and 51759. After we will calculate the factors of 51742 and 51759 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51759

Prime factors of 51759 are 3, 71. Prime factorization of 51759 in exponential form is:

51759 = 3⁶ × 71¹

Step-3: Factors of 51742

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

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

Step-4: Factors of 51759

List of positive integer factors of 51759 that divides 51742 without a remainder.

1, 3, 9, 27, 71, 81, 213, 243, 639, 729, 1917, 5751, 17253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51742 and 51759. The biggest common factor number is the GCF number.
So the greatest common factor 51742 and 51759 is 1.

Also check out the Least Common Multiple of 51742 and 51759