What is the Greatest Common Factor of 41490 and 41508?

Greatest common factor (GCF) of 41490 and 41508 is 18.

GCF(41490,41508) = 18

We will now calculate the prime factors of 41490 and 41508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41490 and 41508.

How to find the GCF of 41490 and 41508?

We will first find the prime factorization of 41490 and 41508. After we will calculate the factors of 41490 and 41508 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 41508

Prime factors of 41508 are 2, 3, 1153. Prime factorization of 41508 in exponential form is:

41508 = 2² × 3² × 1153¹

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 41508

List of positive integer factors of 41508 that divides 41490 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1153, 2306, 3459, 4612, 6918, 10377, 13836, 20754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41490 and 41508. The biggest common factor number is the GCF number.
So the greatest common factor 41490 and 41508 is 18.

Also check out the Least Common Multiple of 41490 and 41508