What is the Greatest Common Factor of 45900 and 45909?

Greatest common factor (GCF) of 45900 and 45909 is 9.

GCF(45900,45909) = 9

We will now calculate the prime factors of 45900 and 45909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45900 and 45909.

How to find the GCF of 45900 and 45909?

We will first find the prime factorization of 45900 and 45909. After we will calculate the factors of 45900 and 45909 and find the biggest common factor number .

Step-1: Prime Factorization of 45900

Prime factors of 45900 are 2, 3, 5, 17. Prime factorization of 45900 in exponential form is:

45900 = 2² × 3³ × 5² × 17¹

Step-2: Prime Factorization of 45909

Prime factors of 45909 are 3, 5101. Prime factorization of 45909 in exponential form is:

45909 = 3² × 5101¹

Step-3: Factors of 45900

List of positive integer factors of 45900 that divides 45900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 25, 27, 30, 34, 36, 45, 50, 51, 54, 60, 68, 75, 85, 90, 100, 102, 108, 135, 150, 153, 170, 180, 204, 225, 255, 270, 300, 306, 340, 425, 450, 459, 510, 540, 612, 675, 765, 850, 900, 918, 1020, 1275, 1350, 1530, 1700, 1836, 2295, 2550, 2700, 3060, 3825, 4590, 5100, 7650, 9180, 11475, 15300, 22950

Step-4: Factors of 45909

List of positive integer factors of 45909 that divides 45900 without a remainder.

1, 3, 9, 5101, 15303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45900 and 45909. The biggest common factor number is the GCF number.
So the greatest common factor 45900 and 45909 is 9.

Also check out the Least Common Multiple of 45900 and 45909