What is the Greatest Common Factor of 41138 and 41156?

Greatest common factor (GCF) of 41138 and 41156 is 2.

GCF(41138,41156) = 2

We will now calculate the prime factors of 41138 and 41156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41138 and 41156.

How to find the GCF of 41138 and 41156?

We will first find the prime factorization of 41138 and 41156. After we will calculate the factors of 41138 and 41156 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 41156

Prime factors of 41156 are 2, 10289. Prime factorization of 41156 in exponential form is:

41156 = 2² × 10289¹

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 41156

List of positive integer factors of 41156 that divides 41138 without a remainder.

1, 2, 4, 10289, 20578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41138 and 41156. The biggest common factor number is the GCF number.
So the greatest common factor 41138 and 41156 is 2.

Also check out the Least Common Multiple of 41138 and 41156