What is the Greatest Common Factor of 41164 and 41182?

Greatest common factor (GCF) of 41164 and 41182 is 2.

GCF(41164,41182) = 2

We will now calculate the prime factors of 41164 and 41182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41164 and 41182.

How to find the GCF of 41164 and 41182?

We will first find the prime factorization of 41164 and 41182. After we will calculate the factors of 41164 and 41182 and find the biggest common factor number .

Step-1: Prime Factorization of 41164

Prime factors of 41164 are 2, 41, 251. Prime factorization of 41164 in exponential form is:

41164 = 2² × 41¹ × 251¹

Step-2: Prime Factorization of 41182

Prime factors of 41182 are 2, 59, 349. Prime factorization of 41182 in exponential form is:

41182 = 2¹ × 59¹ × 349¹

Step-3: Factors of 41164

List of positive integer factors of 41164 that divides 41164 without a remainder.

1, 2, 4, 41, 82, 164, 251, 502, 1004, 10291, 20582

Step-4: Factors of 41182

List of positive integer factors of 41182 that divides 41164 without a remainder.

1, 2, 59, 118, 349, 698, 20591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41164 and 41182. The biggest common factor number is the GCF number.
So the greatest common factor 41164 and 41182 is 2.

Also check out the Least Common Multiple of 41164 and 41182