What is the Greatest Common Factor of 41300 and 41309?

Greatest common factor (GCF) of 41300 and 41309 is 1.

GCF(41300,41309) = 1

We will now calculate the prime factors of 41300 and 41309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41300 and 41309.

How to find the GCF of 41300 and 41309?

We will first find the prime factorization of 41300 and 41309. After we will calculate the factors of 41300 and 41309 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 41309

Prime factors of 41309 are 101, 409. Prime factorization of 41309 in exponential form is:

41309 = 101¹ × 409¹

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 41309

List of positive integer factors of 41309 that divides 41300 without a remainder.

1, 101, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41300 and 41309. The biggest common factor number is the GCF number.
So the greatest common factor 41300 and 41309 is 1.

Also check out the Least Common Multiple of 41300 and 41309