What is the Greatest Common Factor of 41929 and 41949?

Greatest common factor (GCF) of 41929 and 41949 is 1.

GCF(41929,41949) = 1

We will now calculate the prime factors of 41929 and 41949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41929 and 41949.

How to find the GCF of 41929 and 41949?

We will first find the prime factorization of 41929 and 41949. After we will calculate the factors of 41929 and 41949 and find the biggest common factor number .

Step-1: Prime Factorization of 41929

Prime factors of 41929 are 23, 1823. Prime factorization of 41929 in exponential form is:

41929 = 23¹ × 1823¹

Step-2: Prime Factorization of 41949

Prime factors of 41949 are 3, 59, 79. Prime factorization of 41949 in exponential form is:

41949 = 3² × 59¹ × 79¹

Step-3: Factors of 41929

List of positive integer factors of 41929 that divides 41929 without a remainder.

1, 23, 1823

Step-4: Factors of 41949

List of positive integer factors of 41949 that divides 41929 without a remainder.

1, 3, 9, 59, 79, 177, 237, 531, 711, 4661, 13983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41929 and 41949. The biggest common factor number is the GCF number.
So the greatest common factor 41929 and 41949 is 1.

Also check out the Least Common Multiple of 41929 and 41949