What is the Greatest Common Factor of 41080 and 41098?

Greatest common factor (GCF) of 41080 and 41098 is 2.

GCF(41080,41098) = 2

We will now calculate the prime factors of 41080 and 41098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41080 and 41098.

How to find the GCF of 41080 and 41098?

We will first find the prime factorization of 41080 and 41098. After we will calculate the factors of 41080 and 41098 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 41098

Prime factors of 41098 are 2, 20549. Prime factorization of 41098 in exponential form is:

41098 = 2¹ × 20549¹

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 41098

List of positive integer factors of 41098 that divides 41080 without a remainder.

1, 2, 20549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41080 and 41098. The biggest common factor number is the GCF number.
So the greatest common factor 41080 and 41098 is 2.

Also check out the Least Common Multiple of 41080 and 41098