What is the Greatest Common Factor of 41067 and 41080?

Greatest common factor (GCF) of 41067 and 41080 is 13.

GCF(41067,41080) = 13

We will now calculate the prime factors of 41067 and 41080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41067 and 41080.

How to find the GCF of 41067 and 41080?

We will first find the prime factorization of 41067 and 41080. After we will calculate the factors of 41067 and 41080 and find the biggest common factor number .

Step-1: Prime Factorization of 41067

Prime factors of 41067 are 3, 13. Prime factorization of 41067 in exponential form is:

41067 = 3⁵ × 13²

Step-2: 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-3: Factors of 41067

List of positive integer factors of 41067 that divides 41067 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 169, 243, 351, 507, 1053, 1521, 3159, 4563, 13689

Step-4: Factors of 41080

List of positive integer factors of 41080 that divides 41067 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41067 and 41080. The biggest common factor number is the GCF number.
So the greatest common factor 41067 and 41080 is 13.

Also check out the Least Common Multiple of 41067 and 41080