What is the Greatest Common Factor of 41240 and 41250?

Greatest common factor (GCF) of 41240 and 41250 is 10.

GCF(41240,41250) = 10

We will now calculate the prime factors of 41240 and 41250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41240 and 41250.

How to find the GCF of 41240 and 41250?

We will first find the prime factorization of 41240 and 41250. After we will calculate the factors of 41240 and 41250 and find the biggest common factor number .

Step-1: Prime Factorization of 41240

Prime factors of 41240 are 2, 5, 1031. Prime factorization of 41240 in exponential form is:

41240 = 2³ × 5¹ × 1031¹

Step-2: 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-3: Factors of 41240

List of positive integer factors of 41240 that divides 41240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1031, 2062, 4124, 5155, 8248, 10310, 20620

Step-4: Factors of 41250

List of positive integer factors of 41250 that divides 41240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41240 and 41250. The biggest common factor number is the GCF number.
So the greatest common factor 41240 and 41250 is 10.

Also check out the Least Common Multiple of 41240 and 41250