What is the Greatest Common Factor of 41265 and 41271?

Greatest common factor (GCF) of 41265 and 41271 is 3.

GCF(41265,41271) = 3

We will now calculate the prime factors of 41265 and 41271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41265 and 41271.

How to find the GCF of 41265 and 41271?

We will first find the prime factorization of 41265 and 41271. After we will calculate the factors of 41265 and 41271 and find the biggest common factor number .

Step-1: Prime Factorization of 41265

Prime factors of 41265 are 3, 5, 7, 131. Prime factorization of 41265 in exponential form is:

41265 = 3² × 5¹ × 7¹ × 131¹

Step-2: Prime Factorization of 41271

Prime factors of 41271 are 3, 13757. Prime factorization of 41271 in exponential form is:

41271 = 3¹ × 13757¹

Step-3: Factors of 41265

List of positive integer factors of 41265 that divides 41265 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 131, 315, 393, 655, 917, 1179, 1965, 2751, 4585, 5895, 8253, 13755

Step-4: Factors of 41271

List of positive integer factors of 41271 that divides 41265 without a remainder.

1, 3, 13757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41265 and 41271. The biggest common factor number is the GCF number.
So the greatest common factor 41265 and 41271 is 3.

Also check out the Least Common Multiple of 41265 and 41271