What is the Greatest Common Factor of 45780 and 45800?

Greatest common factor (GCF) of 45780 and 45800 is 20.

GCF(45780,45800) = 20

We will now calculate the prime factors of 45780 and 45800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45780 and 45800.

How to find the GCF of 45780 and 45800?

We will first find the prime factorization of 45780 and 45800. After we will calculate the factors of 45780 and 45800 and find the biggest common factor number .

Step-1: Prime Factorization of 45780

Prime factors of 45780 are 2, 3, 5, 7, 109. Prime factorization of 45780 in exponential form is:

45780 = 2² × 3¹ × 5¹ × 7¹ × 109¹

Step-2: Prime Factorization of 45800

Prime factors of 45800 are 2, 5, 229. Prime factorization of 45800 in exponential form is:

45800 = 2³ × 5² × 229¹

Step-3: Factors of 45780

List of positive integer factors of 45780 that divides 45780 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 109, 140, 210, 218, 327, 420, 436, 545, 654, 763, 1090, 1308, 1526, 1635, 2180, 2289, 3052, 3270, 3815, 4578, 6540, 7630, 9156, 11445, 15260, 22890

Step-4: Factors of 45800

List of positive integer factors of 45800 that divides 45780 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 229, 458, 916, 1145, 1832, 2290, 4580, 5725, 9160, 11450, 22900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45780 and 45800. The biggest common factor number is the GCF number.
So the greatest common factor 45780 and 45800 is 20.

Also check out the Least Common Multiple of 45780 and 45800