What is the Greatest Common Factor of 40288 and 40300?

Greatest common factor (GCF) of 40288 and 40300 is 4.

GCF(40288,40300) = 4

We will now calculate the prime factors of 40288 and 40300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40288 and 40300.

How to find the GCF of 40288 and 40300?

We will first find the prime factorization of 40288 and 40300. After we will calculate the factors of 40288 and 40300 and find the biggest common factor number .

Step-1: Prime Factorization of 40288

Prime factors of 40288 are 2, 1259. Prime factorization of 40288 in exponential form is:

40288 = 2⁵ × 1259¹

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 40288

List of positive integer factors of 40288 that divides 40288 without a remainder.

1, 2, 4, 8, 16, 32, 1259, 2518, 5036, 10072, 20144

Step-4: Factors of 40300

List of positive integer factors of 40300 that divides 40288 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 40288 and 40300. The biggest common factor number is the GCF number.
So the greatest common factor 40288 and 40300 is 4.

Also check out the Least Common Multiple of 40288 and 40300