What is the Greatest Common Factor of 41138 and 41157?

Greatest common factor (GCF) of 41138 and 41157 is 1.

GCF(41138,41157) = 1

We will now calculate the prime factors of 41138 and 41157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41138 and 41157.

How to find the GCF of 41138 and 41157?

We will first find the prime factorization of 41138 and 41157. After we will calculate the factors of 41138 and 41157 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41157

Prime factors of 41157 are 3, 17, 269. Prime factorization of 41157 in exponential form is:

41157 = 3² × 17¹ × 269¹

Step-3: Factors of 41138

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

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

Step-4: Factors of 41157

List of positive integer factors of 41157 that divides 41138 without a remainder.

1, 3, 9, 17, 51, 153, 269, 807, 2421, 4573, 13719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41138 and 41157. The biggest common factor number is the GCF number.
So the greatest common factor 41138 and 41157 is 1.

Also check out the Least Common Multiple of 41138 and 41157