What is the Greatest Common Factor of 41120 and 41140?

Greatest common factor (GCF) of 41120 and 41140 is 20.

GCF(41120,41140) = 20

We will now calculate the prime factors of 41120 and 41140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41120 and 41140.

How to find the GCF of 41120 and 41140?

We will first find the prime factorization of 41120 and 41140. After we will calculate the factors of 41120 and 41140 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 41140

Prime factors of 41140 are 2, 5, 11, 17. Prime factorization of 41140 in exponential form is:

41140 = 2² × 5¹ × 11² × 17¹

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 41140

List of positive integer factors of 41140 that divides 41120 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 121, 170, 187, 220, 242, 340, 374, 484, 605, 748, 935, 1210, 1870, 2057, 2420, 3740, 4114, 8228, 10285, 20570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41120 and 41140. The biggest common factor number is the GCF number.
So the greatest common factor 41120 and 41140 is 20.

Also check out the Least Common Multiple of 41120 and 41140