What is the Greatest Common Factor of 41138 and 41145?

Greatest common factor (GCF) of 41138 and 41145 is 1.

GCF(41138,41145) = 1

We will now calculate the prime factors of 41138 and 41145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41138 and 41145.

How to find the GCF of 41138 and 41145?

We will first find the prime factorization of 41138 and 41145. After we will calculate the factors of 41138 and 41145 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 41145

Prime factors of 41145 are 3, 5, 13, 211. Prime factorization of 41145 in exponential form is:

41145 = 3¹ × 5¹ × 13¹ × 211¹

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 41145

List of positive integer factors of 41145 that divides 41138 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 211, 633, 1055, 2743, 3165, 8229, 13715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41138 and 41145. The biggest common factor number is the GCF number.
So the greatest common factor 41138 and 41145 is 1.

Also check out the Least Common Multiple of 41138 and 41145