What is the Greatest Common Factor of 45891 and 45900?

Greatest common factor (GCF) of 45891 and 45900 is 9.

GCF(45891,45900) = 9

We will now calculate the prime factors of 45891 and 45900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45891 and 45900.

How to find the GCF of 45891 and 45900?

We will first find the prime factorization of 45891 and 45900. After we will calculate the factors of 45891 and 45900 and find the biggest common factor number .

Step-1: Prime Factorization of 45891

Prime factors of 45891 are 3, 5099. Prime factorization of 45891 in exponential form is:

45891 = 3² × 5099¹

Step-2: 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-3: Factors of 45891

List of positive integer factors of 45891 that divides 45891 without a remainder.

1, 3, 9, 5099, 15297

Step-4: Factors of 45900

List of positive integer factors of 45900 that divides 45891 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45891 and 45900. The biggest common factor number is the GCF number.
So the greatest common factor 45891 and 45900 is 9.

Also check out the Least Common Multiple of 45891 and 45900