What is the Greatest Common Factor of 30274 and 30289?

Greatest common factor (GCF) of 30274 and 30289 is 1.

GCF(30274,30289) = 1

We will now calculate the prime factors of 30274 and 30289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30274 and 30289.

How to find the GCF of 30274 and 30289?

We will first find the prime factorization of 30274 and 30289. After we will calculate the factors of 30274 and 30289 and find the biggest common factor number .

Step-1: Prime Factorization of 30274

Prime factors of 30274 are 2, 15137. Prime factorization of 30274 in exponential form is:

30274 = 2¹ × 15137¹

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 30274

List of positive integer factors of 30274 that divides 30274 without a remainder.

1, 2, 15137

Step-4: Factors of 30289

List of positive integer factors of 30289 that divides 30274 without a remainder.

1, 7, 4327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30274 and 30289. The biggest common factor number is the GCF number.
So the greatest common factor 30274 and 30289 is 1.

Also check out the Least Common Multiple of 30274 and 30289