What is the Greatest Common Factor of 41250 and 41258?

Greatest common factor (GCF) of 41250 and 41258 is 2.

GCF(41250,41258) = 2

We will now calculate the prime factors of 41250 and 41258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41250 and 41258.

How to find the GCF of 41250 and 41258?

We will first find the prime factorization of 41250 and 41258. After we will calculate the factors of 41250 and 41258 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 41258

Prime factors of 41258 are 2, 7, 421. Prime factorization of 41258 in exponential form is:

41258 = 2¹ × 7² × 421¹

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 41258

List of positive integer factors of 41258 that divides 41250 without a remainder.

1, 2, 7, 14, 49, 98, 421, 842, 2947, 5894, 20629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41250 and 41258. The biggest common factor number is the GCF number.
So the greatest common factor 41250 and 41258 is 2.

Also check out the Least Common Multiple of 41250 and 41258