What is the Greatest Common Factor of 41480 and 41485?

Greatest common factor (GCF) of 41480 and 41485 is 5.

GCF(41480,41485) = 5

We will now calculate the prime factors of 41480 and 41485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41480 and 41485.

How to find the GCF of 41480 and 41485?

We will first find the prime factorization of 41480 and 41485. After we will calculate the factors of 41480 and 41485 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 41485

Prime factors of 41485 are 5, 8297. Prime factorization of 41485 in exponential form is:

41485 = 5¹ × 8297¹

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 41485

List of positive integer factors of 41485 that divides 41480 without a remainder.

1, 5, 8297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41480 and 41485. The biggest common factor number is the GCF number.
So the greatest common factor 41480 and 41485 is 5.

Also check out the Least Common Multiple of 41480 and 41485