What is the Greatest Common Factor of 41475 and 41490?

Greatest common factor (GCF) of 41475 and 41490 is 15.

GCF(41475,41490) = 15

We will now calculate the prime factors of 41475 and 41490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41475 and 41490.

How to find the GCF of 41475 and 41490?

We will first find the prime factorization of 41475 and 41490. After we will calculate the factors of 41475 and 41490 and find the biggest common factor number .

Step-1: Prime Factorization of 41475

Prime factors of 41475 are 3, 5, 7, 79. Prime factorization of 41475 in exponential form is:

41475 = 3¹ × 5² × 7¹ × 79¹

Step-2: 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-3: Factors of 41475

List of positive integer factors of 41475 that divides 41475 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 79, 105, 175, 237, 395, 525, 553, 1185, 1659, 1975, 2765, 5925, 8295, 13825

Step-4: Factors of 41490

List of positive integer factors of 41490 that divides 41475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41475 and 41490. The biggest common factor number is the GCF number.
So the greatest common factor 41475 and 41490 is 15.

Also check out the Least Common Multiple of 41475 and 41490