What is the Greatest Common Factor of 41742 and 41751?

Greatest common factor (GCF) of 41742 and 41751 is 9.

GCF(41742,41751) = 9

We will now calculate the prime factors of 41742 and 41751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41742 and 41751.

How to find the GCF of 41742 and 41751?

We will first find the prime factorization of 41742 and 41751. After we will calculate the factors of 41742 and 41751 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 41751

Prime factors of 41751 are 3, 4639. Prime factorization of 41751 in exponential form is:

41751 = 3² × 4639¹

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 41751

List of positive integer factors of 41751 that divides 41742 without a remainder.

1, 3, 9, 4639, 13917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41742 and 41751. The biggest common factor number is the GCF number.
So the greatest common factor 41742 and 41751 is 9.

Also check out the Least Common Multiple of 41742 and 41751