What is the Greatest Common Factor of 40300 and 40313?

Greatest common factor (GCF) of 40300 and 40313 is 13.

GCF(40300,40313) = 13

We will now calculate the prime factors of 40300 and 40313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40300 and 40313.

How to find the GCF of 40300 and 40313?

We will first find the prime factorization of 40300 and 40313. After we will calculate the factors of 40300 and 40313 and find the biggest common factor number .

Step-1: Prime Factorization of 40300

Prime factors of 40300 are 2, 5, 13, 31. Prime factorization of 40300 in exponential form is:

40300 = 2² × 5² × 13¹ × 31¹

Step-2: Prime Factorization of 40313

Prime factors of 40313 are 7, 13, 443. Prime factorization of 40313 in exponential form is:

40313 = 7¹ × 13¹ × 443¹

Step-3: Factors of 40300

List of positive integer factors of 40300 that divides 40300 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 31, 50, 52, 62, 65, 100, 124, 130, 155, 260, 310, 325, 403, 620, 650, 775, 806, 1300, 1550, 1612, 2015, 3100, 4030, 8060, 10075, 20150

Step-4: Factors of 40313

List of positive integer factors of 40313 that divides 40300 without a remainder.

1, 7, 13, 91, 443, 3101, 5759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40300 and 40313. The biggest common factor number is the GCF number.
So the greatest common factor 40300 and 40313 is 13.

Also check out the Least Common Multiple of 40300 and 40313