What is the Greatest Common Factor of 30289 and 30296?

Greatest common factor (GCF) of 30289 and 30296 is 7.

GCF(30289,30296) = 7

We will now calculate the prime factors of 30289 and 30296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30289 and 30296.

How to find the GCF of 30289 and 30296?

We will first find the prime factorization of 30289 and 30296. After we will calculate the factors of 30289 and 30296 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 30296

Prime factors of 30296 are 2, 7, 541. Prime factorization of 30296 in exponential form is:

30296 = 2³ × 7¹ × 541¹

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 30296

List of positive integer factors of 30296 that divides 30289 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 541, 1082, 2164, 3787, 4328, 7574, 15148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30289 and 30296. The biggest common factor number is the GCF number.
So the greatest common factor 30289 and 30296 is 7.

Also check out the Least Common Multiple of 30289 and 30296