What is the Greatest Common Factor of 1829 and 1845?

Greatest common factor (GCF) of 1829 and 1845 is 1.

GCF(1829,1845) = 1

We will now calculate the prime factors of 1829 and 1845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1829 and 1845.

How to find the GCF of 1829 and 1845?

We will first find the prime factorization of 1829 and 1845. After we will calculate the factors of 1829 and 1845 and find the biggest common factor number .

Step-1: Prime Factorization of 1829

Prime factors of 1829 are 31, 59. Prime factorization of 1829 in exponential form is:

1829 = 31¹ × 59¹

Step-2: Prime Factorization of 1845

Prime factors of 1845 are 3, 5, 41. Prime factorization of 1845 in exponential form is:

1845 = 3² × 5¹ × 41¹

Step-3: Factors of 1829

List of positive integer factors of 1829 that divides 1829 without a remainder.

1, 31, 59

Step-4: Factors of 1845

List of positive integer factors of 1845 that divides 1829 without a remainder.

1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1829 and 1845. The biggest common factor number is the GCF number.
So the greatest common factor 1829 and 1845 is 1.

Also check out the Least Common Multiple of 1829 and 1845