What is the Greatest Common Factor of 41974 and 41983?

Greatest common factor (GCF) of 41974 and 41983 is 1.

GCF(41974,41983) = 1

We will now calculate the prime factors of 41974 and 41983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41974 and 41983.

How to find the GCF of 41974 and 41983?

We will first find the prime factorization of 41974 and 41983. After we will calculate the factors of 41974 and 41983 and find the biggest common factor number .

Step-1: Prime Factorization of 41974

Prime factors of 41974 are 2, 31, 677. Prime factorization of 41974 in exponential form is:

41974 = 2¹ × 31¹ × 677¹

Step-2: Prime Factorization of 41983

Prime factors of 41983 are 41983. Prime factorization of 41983 in exponential form is:

41983 = 41983¹

Step-3: Factors of 41974

List of positive integer factors of 41974 that divides 41974 without a remainder.

1, 2, 31, 62, 677, 1354, 20987

Step-4: Factors of 41983

List of positive integer factors of 41983 that divides 41974 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41974 and 41983. The biggest common factor number is the GCF number.
So the greatest common factor 41974 and 41983 is 1.

Also check out the Least Common Multiple of 41974 and 41983