What is the Greatest Common Factor of 30289 and 30295?

Greatest common factor (GCF) of 30289 and 30295 is 1.

GCF(30289,30295) = 1

We will now calculate the prime factors of 30289 and 30295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30289 and 30295.

How to find the GCF of 30289 and 30295?

We will first find the prime factorization of 30289 and 30295. After we will calculate the factors of 30289 and 30295 and find the biggest common factor number .

Step-1: Prime Factorization of 30289

Prime factors of 30289 are 7, 4327. Prime factorization of 30289 in exponential form is:

30289 = 7¹ × 4327¹

Step-2: Prime Factorization of 30295

Prime factors of 30295 are 5, 73, 83. Prime factorization of 30295 in exponential form is:

30295 = 5¹ × 73¹ × 83¹

Step-3: Factors of 30289

List of positive integer factors of 30289 that divides 30289 without a remainder.

1, 7, 4327

Step-4: Factors of 30295

List of positive integer factors of 30295 that divides 30289 without a remainder.

1, 5, 73, 83, 365, 415, 6059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30289 and 30295. The biggest common factor number is the GCF number.
So the greatest common factor 30289 and 30295 is 1.

Also check out the Least Common Multiple of 30289 and 30295