What is the Greatest Common Factor of 41120 and 41130?

Greatest common factor (GCF) of 41120 and 41130 is 10.

GCF(41120,41130) = 10

We will now calculate the prime factors of 41120 and 41130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41120 and 41130.

How to find the GCF of 41120 and 41130?

We will first find the prime factorization of 41120 and 41130. After we will calculate the factors of 41120 and 41130 and find the biggest common factor number .

Step-1: Prime Factorization of 41120

Prime factors of 41120 are 2, 5, 257. Prime factorization of 41120 in exponential form is:

41120 = 2⁵ × 5¹ × 257¹

Step-2: Prime Factorization of 41130

Prime factors of 41130 are 2, 3, 5, 457. Prime factorization of 41130 in exponential form is:

41130 = 2¹ × 3² × 5¹ × 457¹

Step-3: Factors of 41120

List of positive integer factors of 41120 that divides 41120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 257, 514, 1028, 1285, 2056, 2570, 4112, 5140, 8224, 10280, 20560

Step-4: Factors of 41130

List of positive integer factors of 41130 that divides 41120 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 457, 914, 1371, 2285, 2742, 4113, 4570, 6855, 8226, 13710, 20565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41120 and 41130. The biggest common factor number is the GCF number.
So the greatest common factor 41120 and 41130 is 10.

Also check out the Least Common Multiple of 41120 and 41130