What is the Greatest Common Factor of 39105 and 39123?

Greatest common factor (GCF) of 39105 and 39123 is 9.

GCF(39105,39123) = 9

We will now calculate the prime factors of 39105 and 39123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39105 and 39123.

How to find the GCF of 39105 and 39123?

We will first find the prime factorization of 39105 and 39123. After we will calculate the factors of 39105 and 39123 and find the biggest common factor number .

Step-1: Prime Factorization of 39105

Prime factors of 39105 are 3, 5, 11, 79. Prime factorization of 39105 in exponential form is:

39105 = 3² × 5¹ × 11¹ × 79¹

Step-2: 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-3: Factors of 39105

List of positive integer factors of 39105 that divides 39105 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 79, 99, 165, 237, 395, 495, 711, 869, 1185, 2607, 3555, 4345, 7821, 13035

Step-4: Factors of 39123

List of positive integer factors of 39123 that divides 39105 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39105 and 39123. The biggest common factor number is the GCF number.
So the greatest common factor 39105 and 39123 is 9.

Also check out the Least Common Multiple of 39105 and 39123