What is the Greatest Common Factor of 39123 and 39143?

Greatest common factor (GCF) of 39123 and 39143 is 1.

GCF(39123,39143) = 1

We will now calculate the prime factors of 39123 and 39143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39123 and 39143.

How to find the GCF of 39123 and 39143?

We will first find the prime factorization of 39123 and 39143. After we will calculate the factors of 39123 and 39143 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 39143

Prime factors of 39143 are 13, 3011. Prime factorization of 39143 in exponential form is:

39143 = 13¹ × 3011¹

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 39143

List of positive integer factors of 39143 that divides 39123 without a remainder.

1, 13, 3011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39123 and 39143. The biggest common factor number is the GCF number.
So the greatest common factor 39123 and 39143 is 1.

Also check out the Least Common Multiple of 39123 and 39143