What is the Greatest Common Factor of 41490 and 41507?

Greatest common factor (GCF) of 41490 and 41507 is 1.

GCF(41490,41507) = 1

We will now calculate the prime factors of 41490 and 41507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41490 and 41507.

How to find the GCF of 41490 and 41507?

We will first find the prime factorization of 41490 and 41507. After we will calculate the factors of 41490 and 41507 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 41507

Prime factors of 41507 are 41507. Prime factorization of 41507 in exponential form is:

41507 = 41507¹

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 41507

List of positive integer factors of 41507 that divides 41490 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41490 and 41507. The biggest common factor number is the GCF number.
So the greatest common factor 41490 and 41507 is 1.

Also check out the Least Common Multiple of 41490 and 41507