What is the Greatest Common Factor of 41300 and 41308?

Greatest common factor (GCF) of 41300 and 41308 is 4.

GCF(41300,41308) = 4

We will now calculate the prime factors of 41300 and 41308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41300 and 41308.

How to find the GCF of 41300 and 41308?

We will first find the prime factorization of 41300 and 41308. After we will calculate the factors of 41300 and 41308 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 41308

Prime factors of 41308 are 2, 23, 449. Prime factorization of 41308 in exponential form is:

41308 = 2² × 23¹ × 449¹

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 41308

List of positive integer factors of 41308 that divides 41300 without a remainder.

1, 2, 4, 23, 46, 92, 449, 898, 1796, 10327, 20654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41300 and 41308. The biggest common factor number is the GCF number.
So the greatest common factor 41300 and 41308 is 4.

Also check out the Least Common Multiple of 41300 and 41308