What is the Greatest Common Factor of 41059 and 41078?

Greatest common factor (GCF) of 41059 and 41078 is 19.

GCF(41059,41078) = 19

We will now calculate the prime factors of 41059 and 41078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41059 and 41078.

How to find the GCF of 41059 and 41078?

We will first find the prime factorization of 41059 and 41078. After we will calculate the factors of 41059 and 41078 and find the biggest common factor number .

Step-1: Prime Factorization of 41059

Prime factors of 41059 are 19, 2161. Prime factorization of 41059 in exponential form is:

41059 = 19¹ × 2161¹

Step-2: Prime Factorization of 41078

Prime factors of 41078 are 2, 19, 23, 47. Prime factorization of 41078 in exponential form is:

41078 = 2¹ × 19¹ × 23¹ × 47¹

Step-3: Factors of 41059

List of positive integer factors of 41059 that divides 41059 without a remainder.

1, 19, 2161

Step-4: Factors of 41078

List of positive integer factors of 41078 that divides 41059 without a remainder.

1, 2, 19, 23, 38, 46, 47, 94, 437, 874, 893, 1081, 1786, 2162, 20539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41059 and 41078. The biggest common factor number is the GCF number.
So the greatest common factor 41059 and 41078 is 19.

Also check out the Least Common Multiple of 41059 and 41078