What is the Greatest Common Factor of 41415 and 41420?

Greatest common factor (GCF) of 41415 and 41420 is 5.

GCF(41415,41420) = 5

We will now calculate the prime factors of 41415 and 41420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41415 and 41420.

How to find the GCF of 41415 and 41420?

We will first find the prime factorization of 41415 and 41420. After we will calculate the factors of 41415 and 41420 and find the biggest common factor number .

Step-1: Prime Factorization of 41415

Prime factors of 41415 are 3, 5, 11, 251. Prime factorization of 41415 in exponential form is:

41415 = 3¹ × 5¹ × 11¹ × 251¹

Step-2: Prime Factorization of 41420

Prime factors of 41420 are 2, 5, 19, 109. Prime factorization of 41420 in exponential form is:

41420 = 2² × 5¹ × 19¹ × 109¹

Step-3: Factors of 41415

List of positive integer factors of 41415 that divides 41415 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 251, 753, 1255, 2761, 3765, 8283, 13805

Step-4: Factors of 41420

List of positive integer factors of 41420 that divides 41415 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 109, 190, 218, 380, 436, 545, 1090, 2071, 2180, 4142, 8284, 10355, 20710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41415 and 41420. The biggest common factor number is the GCF number.
So the greatest common factor 41415 and 41420 is 5.

Also check out the Least Common Multiple of 41415 and 41420