What is the Greatest Common Factor of 41140 and 41144?

Greatest common factor (GCF) of 41140 and 41144 is 4.

GCF(41140,41144) = 4

We will now calculate the prime factors of 41140 and 41144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41140 and 41144.

How to find the GCF of 41140 and 41144?

We will first find the prime factorization of 41140 and 41144. After we will calculate the factors of 41140 and 41144 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41144

Prime factors of 41144 are 2, 37, 139. Prime factorization of 41144 in exponential form is:

41144 = 2³ × 37¹ × 139¹

Step-3: Factors of 41140

List of positive integer factors of 41140 that divides 41140 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

Step-4: Factors of 41144

List of positive integer factors of 41144 that divides 41140 without a remainder.

1, 2, 4, 8, 37, 74, 139, 148, 278, 296, 556, 1112, 5143, 10286, 20572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41140 and 41144. The biggest common factor number is the GCF number.
So the greatest common factor 41140 and 41144 is 4.

Also check out the Least Common Multiple of 41140 and 41144