What is the Greatest Common Factor of 41924 and 41942?

Greatest common factor (GCF) of 41924 and 41942 is 2.

GCF(41924,41942) = 2

We will now calculate the prime factors of 41924 and 41942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41924 and 41942.

How to find the GCF of 41924 and 41942?

We will first find the prime factorization of 41924 and 41942. After we will calculate the factors of 41924 and 41942 and find the biggest common factor number .

Step-1: Prime Factorization of 41924

Prime factors of 41924 are 2, 47, 223. Prime factorization of 41924 in exponential form is:

41924 = 2² × 47¹ × 223¹

Step-2: Prime Factorization of 41942

Prime factors of 41942 are 2, 67, 313. Prime factorization of 41942 in exponential form is:

41942 = 2¹ × 67¹ × 313¹

Step-3: Factors of 41924

List of positive integer factors of 41924 that divides 41924 without a remainder.

1, 2, 4, 47, 94, 188, 223, 446, 892, 10481, 20962

Step-4: Factors of 41942

List of positive integer factors of 41942 that divides 41924 without a remainder.

1, 2, 67, 134, 313, 626, 20971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41924 and 41942. The biggest common factor number is the GCF number.
So the greatest common factor 41924 and 41942 is 2.

Also check out the Least Common Multiple of 41924 and 41942