What is the Greatest Common Factor of 41762 and 41774?

Greatest common factor (GCF) of 41762 and 41774 is 2.

GCF(41762,41774) = 2

We will now calculate the prime factors of 41762 and 41774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41762 and 41774.

How to find the GCF of 41762 and 41774?

We will first find the prime factorization of 41762 and 41774. After we will calculate the factors of 41762 and 41774 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41774

Prime factors of 41774 are 2, 20887. Prime factorization of 41774 in exponential form is:

41774 = 2¹ × 20887¹

Step-3: Factors of 41762

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

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

Step-4: Factors of 41774

List of positive integer factors of 41774 that divides 41762 without a remainder.

1, 2, 20887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41762 and 41774. The biggest common factor number is the GCF number.
So the greatest common factor 41762 and 41774 is 2.

Also check out the Least Common Multiple of 41762 and 41774