What is the Greatest Common Factor of 30275 and 30289?

Greatest common factor (GCF) of 30275 and 30289 is 7.

GCF(30275,30289) = 7

We will now calculate the prime factors of 30275 and 30289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30275 and 30289.

How to find the GCF of 30275 and 30289?

We will first find the prime factorization of 30275 and 30289. After we will calculate the factors of 30275 and 30289 and find the biggest common factor number .

Step-1: Prime Factorization of 30275

Prime factors of 30275 are 5, 7, 173. Prime factorization of 30275 in exponential form is:

30275 = 5² × 7¹ × 173¹

Step-2: Prime Factorization of 30289

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

30289 = 7¹ × 4327¹

Step-3: Factors of 30275

List of positive integer factors of 30275 that divides 30275 without a remainder.

1, 5, 7, 25, 35, 173, 175, 865, 1211, 4325, 6055

Step-4: Factors of 30289

List of positive integer factors of 30289 that divides 30275 without a remainder.

1, 7, 4327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30275 and 30289. The biggest common factor number is the GCF number.
So the greatest common factor 30275 and 30289 is 7.

Also check out the Least Common Multiple of 30275 and 30289