What is the Greatest Common Factor of 41120 and 41138?

Greatest common factor (GCF) of 41120 and 41138 is 2.

GCF(41120,41138) = 2

We will now calculate the prime factors of 41120 and 41138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41120 and 41138.

How to find the GCF of 41120 and 41138?

We will first find the prime factorization of 41120 and 41138. After we will calculate the factors of 41120 and 41138 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 41138

Prime factors of 41138 are 2, 67, 307. Prime factorization of 41138 in exponential form is:

41138 = 2¹ × 67¹ × 307¹

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 41138

List of positive integer factors of 41138 that divides 41120 without a remainder.

1, 2, 67, 134, 307, 614, 20569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41120 and 41138. The biggest common factor number is the GCF number.
So the greatest common factor 41120 and 41138 is 2.

Also check out the Least Common Multiple of 41120 and 41138