What is the Greatest Common Factor of 41138 and 41154?

Greatest common factor (GCF) of 41138 and 41154 is 2.

GCF(41138,41154) = 2

We will now calculate the prime factors of 41138 and 41154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41138 and 41154.

How to find the GCF of 41138 and 41154?

We will first find the prime factorization of 41138 and 41154. After we will calculate the factors of 41138 and 41154 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 41154

Prime factors of 41154 are 2, 3, 19. Prime factorization of 41154 in exponential form is:

41154 = 2¹ × 3¹ × 19³

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 41154

List of positive integer factors of 41154 that divides 41138 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166, 6859, 13718, 20577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41138 and 41154. The biggest common factor number is the GCF number.
So the greatest common factor 41138 and 41154 is 2.

Also check out the Least Common Multiple of 41138 and 41154