What is the Greatest Common Factor of 41146 and 41162?

Greatest common factor (GCF) of 41146 and 41162 is 2.

GCF(41146,41162) = 2

We will now calculate the prime factors of 41146 and 41162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41146 and 41162.

How to find the GCF of 41146 and 41162?

We will first find the prime factorization of 41146 and 41162. After we will calculate the factors of 41146 and 41162 and find the biggest common factor number .

Step-1: Prime Factorization of 41146

Prime factors of 41146 are 2, 7, 2939. Prime factorization of 41146 in exponential form is:

41146 = 2¹ × 7¹ × 2939¹

Step-2: Prime Factorization of 41162

Prime factors of 41162 are 2, 11, 1871. Prime factorization of 41162 in exponential form is:

41162 = 2¹ × 11¹ × 1871¹

Step-3: Factors of 41146

List of positive integer factors of 41146 that divides 41146 without a remainder.

1, 2, 7, 14, 2939, 5878, 20573

Step-4: Factors of 41162

List of positive integer factors of 41162 that divides 41146 without a remainder.

1, 2, 11, 22, 1871, 3742, 20581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41146 and 41162. The biggest common factor number is the GCF number.
So the greatest common factor 41146 and 41162 is 2.

Also check out the Least Common Multiple of 41146 and 41162