What is the Greatest Common Factor of 41300 and 41318?

Greatest common factor (GCF) of 41300 and 41318 is 2.

GCF(41300,41318) = 2

We will now calculate the prime factors of 41300 and 41318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41300 and 41318.

How to find the GCF of 41300 and 41318?

We will first find the prime factorization of 41300 and 41318. After we will calculate the factors of 41300 and 41318 and find the biggest common factor number .

Step-1: Prime Factorization of 41300

Prime factors of 41300 are 2, 5, 7, 59. Prime factorization of 41300 in exponential form is:

41300 = 2² × 5² × 7¹ × 59¹

Step-2: Prime Factorization of 41318

Prime factors of 41318 are 2, 73, 283. Prime factorization of 41318 in exponential form is:

41318 = 2¹ × 73¹ × 283¹

Step-3: Factors of 41300

List of positive integer factors of 41300 that divides 41300 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 59, 70, 100, 118, 140, 175, 236, 295, 350, 413, 590, 700, 826, 1180, 1475, 1652, 2065, 2950, 4130, 5900, 8260, 10325, 20650

Step-4: Factors of 41318

List of positive integer factors of 41318 that divides 41300 without a remainder.

1, 2, 73, 146, 283, 566, 20659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41300 and 41318. The biggest common factor number is the GCF number.
So the greatest common factor 41300 and 41318 is 2.

Also check out the Least Common Multiple of 41300 and 41318