What is the Greatest Common Factor of 40295 and 40300?

Greatest common factor (GCF) of 40295 and 40300 is 5.

GCF(40295,40300) = 5

We will now calculate the prime factors of 40295 and 40300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40295 and 40300.

How to find the GCF of 40295 and 40300?

We will first find the prime factorization of 40295 and 40300. After we will calculate the factors of 40295 and 40300 and find the biggest common factor number .

Step-1: Prime Factorization of 40295

Prime factors of 40295 are 5, 8059. Prime factorization of 40295 in exponential form is:

40295 = 5¹ × 8059¹

Step-2: 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-3: Factors of 40295

List of positive integer factors of 40295 that divides 40295 without a remainder.

1, 5, 8059

Step-4: Factors of 40300

List of positive integer factors of 40300 that divides 40295 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40295 and 40300. The biggest common factor number is the GCF number.
So the greatest common factor 40295 and 40300 is 5.

Also check out the Least Common Multiple of 40295 and 40300