What is the Greatest Common Factor of 30129 and 30143?

Greatest common factor (GCF) of 30129 and 30143 is 1.

GCF(30129,30143) = 1

We will now calculate the prime factors of 30129 and 30143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30129 and 30143.

How to find the GCF of 30129 and 30143?

We will first find the prime factorization of 30129 and 30143. After we will calculate the factors of 30129 and 30143 and find the biggest common factor number .

Step-1: Prime Factorization of 30129

Prime factors of 30129 are 3, 11, 83. Prime factorization of 30129 in exponential form is:

30129 = 3¹ × 11² × 83¹

Step-2: Prime Factorization of 30143

Prime factors of 30143 are 43, 701. Prime factorization of 30143 in exponential form is:

30143 = 43¹ × 701¹

Step-3: Factors of 30129

List of positive integer factors of 30129 that divides 30129 without a remainder.

1, 3, 11, 33, 83, 121, 249, 363, 913, 2739, 10043

Step-4: Factors of 30143

List of positive integer factors of 30143 that divides 30129 without a remainder.

1, 43, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30129 and 30143. The biggest common factor number is the GCF number.
So the greatest common factor 30129 and 30143 is 1.

Also check out the Least Common Multiple of 30129 and 30143