What is the Greatest Common Factor of 1829 and 1844?

Greatest common factor (GCF) of 1829 and 1844 is 1.

GCF(1829,1844) = 1

We will now calculate the prime factors of 1829 and 1844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1829 and 1844.

How to find the GCF of 1829 and 1844?

We will first find the prime factorization of 1829 and 1844. After we will calculate the factors of 1829 and 1844 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 1844

Prime factors of 1844 are 2, 461. Prime factorization of 1844 in exponential form is:

1844 = 2² × 461¹

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 1844

List of positive integer factors of 1844 that divides 1829 without a remainder.

1, 2, 4, 461, 922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1829 and 1844. The biggest common factor number is the GCF number.
So the greatest common factor 1829 and 1844 is 1.

Also check out the Least Common Multiple of 1829 and 1844