What is the Greatest Common Factor of 61833 and 61839?

Greatest common factor (GCF) of 61833 and 61839 is 3.

GCF(61833,61839) = 3

We will now calculate the prime factors of 61833 and 61839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61833 and 61839.

How to find the GCF of 61833 and 61839?

We will first find the prime factorization of 61833 and 61839. After we will calculate the factors of 61833 and 61839 and find the biggest common factor number .

Step-1: Prime Factorization of 61833

Prime factors of 61833 are 3, 20611. Prime factorization of 61833 in exponential form is:

61833 = 3¹ × 20611¹

Step-2: Prime Factorization of 61839

Prime factors of 61839 are 3, 6871. Prime factorization of 61839 in exponential form is:

61839 = 3² × 6871¹

Step-3: Factors of 61833

List of positive integer factors of 61833 that divides 61833 without a remainder.

1, 3, 20611

Step-4: Factors of 61839

List of positive integer factors of 61839 that divides 61833 without a remainder.

1, 3, 9, 6871, 20613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61833 and 61839. The biggest common factor number is the GCF number.
So the greatest common factor 61833 and 61839 is 3.

Also check out the Least Common Multiple of 61833 and 61839