What is the Greatest Common Factor of 41080 and 41086?

Greatest common factor (GCF) of 41080 and 41086 is 2.

GCF(41080,41086) = 2

We will now calculate the prime factors of 41080 and 41086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41080 and 41086.

How to find the GCF of 41080 and 41086?

We will first find the prime factorization of 41080 and 41086. After we will calculate the factors of 41080 and 41086 and find the biggest common factor number .

Step-1: Prime Factorization of 41080

Prime factors of 41080 are 2, 5, 13, 79. Prime factorization of 41080 in exponential form is:

41080 = 2³ × 5¹ × 13¹ × 79¹

Step-2: Prime Factorization of 41086

Prime factors of 41086 are 2, 20543. Prime factorization of 41086 in exponential form is:

41086 = 2¹ × 20543¹

Step-3: Factors of 41080

List of positive integer factors of 41080 that divides 41080 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 79, 104, 130, 158, 260, 316, 395, 520, 632, 790, 1027, 1580, 2054, 3160, 4108, 5135, 8216, 10270, 20540

Step-4: Factors of 41086

List of positive integer factors of 41086 that divides 41080 without a remainder.

1, 2, 20543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41080 and 41086. The biggest common factor number is the GCF number.
So the greatest common factor 41080 and 41086 is 2.

Also check out the Least Common Multiple of 41080 and 41086