What is the Greatest Common Factor of 41250 and 41259?

Greatest common factor (GCF) of 41250 and 41259 is 3.

GCF(41250,41259) = 3

We will now calculate the prime factors of 41250 and 41259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41250 and 41259.

How to find the GCF of 41250 and 41259?

We will first find the prime factorization of 41250 and 41259. After we will calculate the factors of 41250 and 41259 and find the biggest common factor number .

Step-1: Prime Factorization of 41250

Prime factors of 41250 are 2, 3, 5, 11. Prime factorization of 41250 in exponential form is:

41250 = 2¹ × 3¹ × 5⁴ × 11¹

Step-2: Prime Factorization of 41259

Prime factors of 41259 are 3, 17, 809. Prime factorization of 41259 in exponential form is:

41259 = 3¹ × 17¹ × 809¹

Step-3: Factors of 41250

List of positive integer factors of 41250 that divides 41250 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 625, 750, 825, 1250, 1375, 1650, 1875, 2750, 3750, 4125, 6875, 8250, 13750, 20625

Step-4: Factors of 41259

List of positive integer factors of 41259 that divides 41250 without a remainder.

1, 3, 17, 51, 809, 2427, 13753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41250 and 41259. The biggest common factor number is the GCF number.
So the greatest common factor 41250 and 41259 is 3.

Also check out the Least Common Multiple of 41250 and 41259