What is the Greatest Common Factor of 41909 and 41923?

Greatest common factor (GCF) of 41909 and 41923 is 7.

GCF(41909,41923) = 7

We will now calculate the prime factors of 41909 and 41923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41909 and 41923.

How to find the GCF of 41909 and 41923?

We will first find the prime factorization of 41909 and 41923. After we will calculate the factors of 41909 and 41923 and find the biggest common factor number .

Step-1: Prime Factorization of 41909

Prime factors of 41909 are 7, 5987. Prime factorization of 41909 in exponential form is:

41909 = 7¹ × 5987¹

Step-2: Prime Factorization of 41923

Prime factors of 41923 are 7, 53, 113. Prime factorization of 41923 in exponential form is:

41923 = 7¹ × 53¹ × 113¹

Step-3: Factors of 41909

List of positive integer factors of 41909 that divides 41909 without a remainder.

1, 7, 5987

Step-4: Factors of 41923

List of positive integer factors of 41923 that divides 41909 without a remainder.

1, 7, 53, 113, 371, 791, 5989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41909 and 41923. The biggest common factor number is the GCF number.
So the greatest common factor 41909 and 41923 is 7.

Also check out the Least Common Multiple of 41909 and 41923