What is the Greatest Common Factor of 30909 and 30929?

Greatest common factor (GCF) of 30909 and 30929 is 1.

GCF(30909,30929) = 1

We will now calculate the prime factors of 30909 and 30929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30909 and 30929.

How to find the GCF of 30909 and 30929?

We will first find the prime factorization of 30909 and 30929. After we will calculate the factors of 30909 and 30929 and find the biggest common factor number .

Step-1: Prime Factorization of 30909

Prime factors of 30909 are 3, 10303. Prime factorization of 30909 in exponential form is:

30909 = 3¹ × 10303¹

Step-2: Prime Factorization of 30929

Prime factors of 30929 are 157, 197. Prime factorization of 30929 in exponential form is:

30929 = 157¹ × 197¹

Step-3: Factors of 30909

List of positive integer factors of 30909 that divides 30909 without a remainder.

1, 3, 10303

Step-4: Factors of 30929

List of positive integer factors of 30929 that divides 30909 without a remainder.

1, 157, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30909 and 30929. The biggest common factor number is the GCF number.
So the greatest common factor 30909 and 30929 is 1.

Also check out the Least Common Multiple of 30909 and 30929