What is the Greatest Common Factor of 45889 and 45900?

Greatest common factor (GCF) of 45889 and 45900 is 1.

GCF(45889,45900) = 1

We will now calculate the prime factors of 45889 and 45900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45889 and 45900.

How to find the GCF of 45889 and 45900?

We will first find the prime factorization of 45889 and 45900. After we will calculate the factors of 45889 and 45900 and find the biggest common factor number .

Step-1: Prime Factorization of 45889

Prime factors of 45889 are 109, 421. Prime factorization of 45889 in exponential form is:

45889 = 109¹ × 421¹

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 45889

List of positive integer factors of 45889 that divides 45889 without a remainder.

1, 109, 421

Step-4: Factors of 45900

List of positive integer factors of 45900 that divides 45889 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 45889 and 45900. The biggest common factor number is the GCF number.
So the greatest common factor 45889 and 45900 is 1.

Also check out the Least Common Multiple of 45889 and 45900