What is the Greatest Common Factor of 30129 and 30137?

Greatest common factor (GCF) of 30129 and 30137 is 1.

GCF(30129,30137) = 1

We will now calculate the prime factors of 30129 and 30137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30129 and 30137.

How to find the GCF of 30129 and 30137?

We will first find the prime factorization of 30129 and 30137. After we will calculate the factors of 30129 and 30137 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 30137

Prime factors of 30137 are 30137. Prime factorization of 30137 in exponential form is:

30137 = 30137¹

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 30137

List of positive integer factors of 30137 that divides 30129 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30129 and 30137. The biggest common factor number is the GCF number.
So the greatest common factor 30129 and 30137 is 1.

Also check out the Least Common Multiple of 30129 and 30137