What is the Greatest Common Factor of 41742 and 41762?

Greatest common factor (GCF) of 41742 and 41762 is 2.

GCF(41742,41762) = 2

We will now calculate the prime factors of 41742 and 41762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41742 and 41762.

How to find the GCF of 41742 and 41762?

We will first find the prime factorization of 41742 and 41762. After we will calculate the factors of 41742 and 41762 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 41762

Prime factors of 41762 are 2, 7, 19, 157. Prime factorization of 41762 in exponential form is:

41762 = 2¹ × 7¹ × 19¹ × 157¹

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 41762

List of positive integer factors of 41762 that divides 41742 without a remainder.

1, 2, 7, 14, 19, 38, 133, 157, 266, 314, 1099, 2198, 2983, 5966, 20881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41742 and 41762. The biggest common factor number is the GCF number.
So the greatest common factor 41742 and 41762 is 2.

Also check out the Least Common Multiple of 41742 and 41762