What is the Greatest Common Factor of 41265 and 41285?

Greatest common factor (GCF) of 41265 and 41285 is 5.

GCF(41265,41285) = 5

We will now calculate the prime factors of 41265 and 41285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41265 and 41285.

How to find the GCF of 41265 and 41285?

We will first find the prime factorization of 41265 and 41285. After we will calculate the factors of 41265 and 41285 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 41285

Prime factors of 41285 are 5, 23, 359. Prime factorization of 41285 in exponential form is:

41285 = 5¹ × 23¹ × 359¹

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 41285

List of positive integer factors of 41285 that divides 41265 without a remainder.

1, 5, 23, 115, 359, 1795, 8257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41265 and 41285. The biggest common factor number is the GCF number.
So the greatest common factor 41265 and 41285 is 5.

Also check out the Least Common Multiple of 41265 and 41285