What is the Greatest Common Factor of 41742 and 41759?

Greatest common factor (GCF) of 41742 and 41759 is 1.

GCF(41742,41759) = 1

We will now calculate the prime factors of 41742 and 41759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41742 and 41759.

How to find the GCF of 41742 and 41759?

We will first find the prime factorization of 41742 and 41759. After we will calculate the factors of 41742 and 41759 and find the biggest common factor number .

Step-1: Prime Factorization of 41742

Prime factors of 41742 are 2, 3, 773. Prime factorization of 41742 in exponential form is:

41742 = 2¹ × 3³ × 773¹

Step-2: Prime Factorization of 41759

Prime factors of 41759 are 41759. Prime factorization of 41759 in exponential form is:

41759 = 41759¹

Step-3: Factors of 41742

List of positive integer factors of 41742 that divides 41742 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 773, 1546, 2319, 4638, 6957, 13914, 20871

Step-4: Factors of 41759

List of positive integer factors of 41759 that divides 41742 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41742 and 41759. The biggest common factor number is the GCF number.
So the greatest common factor 41742 and 41759 is 1.

Also check out the Least Common Multiple of 41742 and 41759