What is the Greatest Common Factor of 41500 and 41514?

Greatest common factor (GCF) of 41500 and 41514 is 2.

GCF(41500,41514) = 2

We will now calculate the prime factors of 41500 and 41514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41500 and 41514.

How to find the GCF of 41500 and 41514?

We will first find the prime factorization of 41500 and 41514. After we will calculate the factors of 41500 and 41514 and find the biggest common factor number .

Step-1: Prime Factorization of 41500

Prime factors of 41500 are 2, 5, 83. Prime factorization of 41500 in exponential form is:

41500 = 2² × 5³ × 83¹

Step-2: Prime Factorization of 41514

Prime factors of 41514 are 2, 3, 11, 17, 37. Prime factorization of 41514 in exponential form is:

41514 = 2¹ × 3¹ × 11¹ × 17¹ × 37¹

Step-3: Factors of 41500

List of positive integer factors of 41500 that divides 41500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 125, 166, 250, 332, 415, 500, 830, 1660, 2075, 4150, 8300, 10375, 20750

Step-4: Factors of 41514

List of positive integer factors of 41514 that divides 41500 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 37, 51, 66, 74, 102, 111, 187, 222, 374, 407, 561, 629, 814, 1122, 1221, 1258, 1887, 2442, 3774, 6919, 13838, 20757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41500 and 41514. The biggest common factor number is the GCF number.
So the greatest common factor 41500 and 41514 is 2.

Also check out the Least Common Multiple of 41500 and 41514