What is the Greatest Common Factor of 41480 and 41490?

Greatest common factor (GCF) of 41480 and 41490 is 10.

GCF(41480,41490) = 10

We will now calculate the prime factors of 41480 and 41490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41480 and 41490.

How to find the GCF of 41480 and 41490?

We will first find the prime factorization of 41480 and 41490. After we will calculate the factors of 41480 and 41490 and find the biggest common factor number .

Step-1: Prime Factorization of 41480

Prime factors of 41480 are 2, 5, 17, 61. Prime factorization of 41480 in exponential form is:

41480 = 2³ × 5¹ × 17¹ × 61¹

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 41480

List of positive integer factors of 41480 that divides 41480 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 61, 68, 85, 122, 136, 170, 244, 305, 340, 488, 610, 680, 1037, 1220, 2074, 2440, 4148, 5185, 8296, 10370, 20740

Step-4: Factors of 41490

List of positive integer factors of 41490 that divides 41480 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 41480 and 41490. The biggest common factor number is the GCF number.
So the greatest common factor 41480 and 41490 is 10.

Also check out the Least Common Multiple of 41480 and 41490