What is the Greatest Common Factor of 41300 and 41305?

Greatest common factor (GCF) of 41300 and 41305 is 5.

GCF(41300,41305) = 5

We will now calculate the prime factors of 41300 and 41305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41300 and 41305.

How to find the GCF of 41300 and 41305?

We will first find the prime factorization of 41300 and 41305. After we will calculate the factors of 41300 and 41305 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 41305

Prime factors of 41305 are 5, 11, 751. Prime factorization of 41305 in exponential form is:

41305 = 5¹ × 11¹ × 751¹

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 41305

List of positive integer factors of 41305 that divides 41300 without a remainder.

1, 5, 11, 55, 751, 3755, 8261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41300 and 41305. The biggest common factor number is the GCF number.
So the greatest common factor 41300 and 41305 is 5.

Also check out the Least Common Multiple of 41300 and 41305