What is the Greatest Common Factor of 41674 and 41683?

Greatest common factor (GCF) of 41674 and 41683 is 1.

GCF(41674,41683) = 1

We will now calculate the prime factors of 41674 and 41683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41674 and 41683.

How to find the GCF of 41674 and 41683?

We will first find the prime factorization of 41674 and 41683. After we will calculate the factors of 41674 and 41683 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 41683

Prime factors of 41683 are 73, 571. Prime factorization of 41683 in exponential form is:

41683 = 73¹ × 571¹

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 41683

List of positive integer factors of 41683 that divides 41674 without a remainder.

1, 73, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41674 and 41683. The biggest common factor number is the GCF number.
So the greatest common factor 41674 and 41683 is 1.

Also check out the Least Common Multiple of 41674 and 41683