What is the Greatest Common Factor of 41300 and 41314?

Greatest common factor (GCF) of 41300 and 41314 is 14.

GCF(41300,41314) = 14

We will now calculate the prime factors of 41300 and 41314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41300 and 41314.

How to find the GCF of 41300 and 41314?

We will first find the prime factorization of 41300 and 41314. After we will calculate the factors of 41300 and 41314 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 41314

Prime factors of 41314 are 2, 7, 13, 227. Prime factorization of 41314 in exponential form is:

41314 = 2¹ × 7¹ × 13¹ × 227¹

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 41314

List of positive integer factors of 41314 that divides 41300 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 227, 454, 1589, 2951, 3178, 5902, 20657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41300 and 41314. The biggest common factor number is the GCF number.
So the greatest common factor 41300 and 41314 is 14.

Also check out the Least Common Multiple of 41300 and 41314