What is the Greatest Common Factor of 45810 and 45821?

Greatest common factor (GCF) of 45810 and 45821 is 1.

GCF(45810,45821) = 1

We will now calculate the prime factors of 45810 and 45821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45810 and 45821.

How to find the GCF of 45810 and 45821?

We will first find the prime factorization of 45810 and 45821. After we will calculate the factors of 45810 and 45821 and find the biggest common factor number .

Step-1: Prime Factorization of 45810

Prime factors of 45810 are 2, 3, 5, 509. Prime factorization of 45810 in exponential form is:

45810 = 2¹ × 3² × 5¹ × 509¹

Step-2: Prime Factorization of 45821

Prime factors of 45821 are 45821. Prime factorization of 45821 in exponential form is:

45821 = 45821¹

Step-3: Factors of 45810

List of positive integer factors of 45810 that divides 45810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 509, 1018, 1527, 2545, 3054, 4581, 5090, 7635, 9162, 15270, 22905

Step-4: Factors of 45821

List of positive integer factors of 45821 that divides 45810 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45810 and 45821. The biggest common factor number is the GCF number.
So the greatest common factor 45810 and 45821 is 1.

Also check out the Least Common Multiple of 45810 and 45821