What is the Greatest Common Factor of 41674 and 41687?

Greatest common factor (GCF) of 41674 and 41687 is 1.

GCF(41674,41687) = 1

We will now calculate the prime factors of 41674 and 41687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41674 and 41687.

How to find the GCF of 41674 and 41687?

We will first find the prime factorization of 41674 and 41687. After we will calculate the factors of 41674 and 41687 and find the biggest common factor number .

Step-1: Prime Factorization of 41674

Prime factors of 41674 are 2, 67, 311. Prime factorization of 41674 in exponential form is:

41674 = 2¹ × 67¹ × 311¹

Step-2: Prime Factorization of 41687

Prime factors of 41687 are 41687. Prime factorization of 41687 in exponential form is:

41687 = 41687¹

Step-3: Factors of 41674

List of positive integer factors of 41674 that divides 41674 without a remainder.

1, 2, 67, 134, 311, 622, 20837

Step-4: Factors of 41687

List of positive integer factors of 41687 that divides 41674 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41674 and 41687. The biggest common factor number is the GCF number.
So the greatest common factor 41674 and 41687 is 1.

Also check out the Least Common Multiple of 41674 and 41687