What is the Greatest Common Factor of 45900 and 45914?

Greatest common factor (GCF) of 45900 and 45914 is 2.

GCF(45900,45914) = 2

We will now calculate the prime factors of 45900 and 45914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45900 and 45914.

How to find the GCF of 45900 and 45914?

We will first find the prime factorization of 45900 and 45914. After we will calculate the factors of 45900 and 45914 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 45914

Prime factors of 45914 are 2, 11, 2087. Prime factorization of 45914 in exponential form is:

45914 = 2¹ × 11¹ × 2087¹

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 45914

List of positive integer factors of 45914 that divides 45900 without a remainder.

1, 2, 11, 22, 2087, 4174, 22957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45900 and 45914. The biggest common factor number is the GCF number.
So the greatest common factor 45900 and 45914 is 2.

Also check out the Least Common Multiple of 45900 and 45914