What is the Greatest Common Factor of 39123 and 39129?

Greatest common factor (GCF) of 39123 and 39129 is 3.

GCF(39123,39129) = 3

We will now calculate the prime factors of 39123 and 39129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39123 and 39129.

How to find the GCF of 39123 and 39129?

We will first find the prime factorization of 39123 and 39129. After we will calculate the factors of 39123 and 39129 and find the biggest common factor number .

Step-1: Prime Factorization of 39123

Prime factors of 39123 are 3, 7, 23. Prime factorization of 39123 in exponential form is:

39123 = 3⁵ × 7¹ × 23¹

Step-2: Prime Factorization of 39129

Prime factors of 39129 are 3, 13043. Prime factorization of 39129 in exponential form is:

39129 = 3¹ × 13043¹

Step-3: Factors of 39123

List of positive integer factors of 39123 that divides 39123 without a remainder.

1, 3, 7, 9, 21, 23, 27, 63, 69, 81, 161, 189, 207, 243, 483, 567, 621, 1449, 1701, 1863, 4347, 5589, 13041

Step-4: Factors of 39129

List of positive integer factors of 39129 that divides 39123 without a remainder.

1, 3, 13043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39123 and 39129. The biggest common factor number is the GCF number.
So the greatest common factor 39123 and 39129 is 3.

Also check out the Least Common Multiple of 39123 and 39129