What is the Greatest Common Factor of 41235 and 41250?

Greatest common factor (GCF) of 41235 and 41250 is 15.

GCF(41235,41250) = 15

We will now calculate the prime factors of 41235 and 41250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41235 and 41250.

How to find the GCF of 41235 and 41250?

We will first find the prime factorization of 41235 and 41250. After we will calculate the factors of 41235 and 41250 and find the biggest common factor number .

Step-1: Prime Factorization of 41235

Prime factors of 41235 are 3, 5, 2749. Prime factorization of 41235 in exponential form is:

41235 = 3¹ × 5¹ × 2749¹

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 41235

List of positive integer factors of 41235 that divides 41235 without a remainder.

1, 3, 5, 15, 2749, 8247, 13745

Step-4: Factors of 41250

List of positive integer factors of 41250 that divides 41235 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 41235 and 41250. The biggest common factor number is the GCF number.
So the greatest common factor 41235 and 41250 is 15.

Also check out the Least Common Multiple of 41235 and 41250