What is the Greatest Common Factor of 41015 and 41028?

Greatest common factor (GCF) of 41015 and 41028 is 13.

GCF(41015,41028) = 13

We will now calculate the prime factors of 41015 and 41028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41015 and 41028.

How to find the GCF of 41015 and 41028?

We will first find the prime factorization of 41015 and 41028. After we will calculate the factors of 41015 and 41028 and find the biggest common factor number .

Step-1: Prime Factorization of 41015

Prime factors of 41015 are 5, 13, 631. Prime factorization of 41015 in exponential form is:

41015 = 5¹ × 13¹ × 631¹

Step-2: Prime Factorization of 41028

Prime factors of 41028 are 2, 3, 13, 263. Prime factorization of 41028 in exponential form is:

41028 = 2² × 3¹ × 13¹ × 263¹

Step-3: Factors of 41015

List of positive integer factors of 41015 that divides 41015 without a remainder.

1, 5, 13, 65, 631, 3155, 8203

Step-4: Factors of 41028

List of positive integer factors of 41028 that divides 41015 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 263, 526, 789, 1052, 1578, 3156, 3419, 6838, 10257, 13676, 20514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41015 and 41028. The biggest common factor number is the GCF number.
So the greatest common factor 41015 and 41028 is 13.

Also check out the Least Common Multiple of 41015 and 41028