What is the Greatest Common Factor of 41265 and 41270?

Greatest common factor (GCF) of 41265 and 41270 is 5.

GCF(41265,41270) = 5

We will now calculate the prime factors of 41265 and 41270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41265 and 41270.

How to find the GCF of 41265 and 41270?

We will first find the prime factorization of 41265 and 41270. After we will calculate the factors of 41265 and 41270 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 41270

Prime factors of 41270 are 2, 5, 4127. Prime factorization of 41270 in exponential form is:

41270 = 2¹ × 5¹ × 4127¹

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 41270

List of positive integer factors of 41270 that divides 41265 without a remainder.

1, 2, 5, 10, 4127, 8254, 20635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41265 and 41270. The biggest common factor number is the GCF number.
So the greatest common factor 41265 and 41270 is 5.

Also check out the Least Common Multiple of 41265 and 41270