What is the Greatest Common Factor of 41490 and 41500?

Greatest common factor (GCF) of 41490 and 41500 is 10.

GCF(41490,41500) = 10

We will now calculate the prime factors of 41490 and 41500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41490 and 41500.

How to find the GCF of 41490 and 41500?

We will first find the prime factorization of 41490 and 41500. After we will calculate the factors of 41490 and 41500 and find the biggest common factor number .

Step-1: Prime Factorization of 41490

Prime factors of 41490 are 2, 3, 5, 461. Prime factorization of 41490 in exponential form is:

41490 = 2¹ × 3² × 5¹ × 461¹

Step-2: Prime Factorization of 41500

Prime factors of 41500 are 2, 5, 83. Prime factorization of 41500 in exponential form is:

41500 = 2² × 5³ × 83¹

Step-3: Factors of 41490

List of positive integer factors of 41490 that divides 41490 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 461, 922, 1383, 2305, 2766, 4149, 4610, 6915, 8298, 13830, 20745

Step-4: Factors of 41500

List of positive integer factors of 41500 that divides 41490 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 125, 166, 250, 332, 415, 500, 830, 1660, 2075, 4150, 8300, 10375, 20750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41490 and 41500. The biggest common factor number is the GCF number.
So the greatest common factor 41490 and 41500 is 10.

Also check out the Least Common Multiple of 41490 and 41500