What is the Greatest Common Factor of 30233 and 30247?

Greatest common factor (GCF) of 30233 and 30247 is 7.

GCF(30233,30247) = 7

We will now calculate the prime factors of 30233 and 30247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30233 and 30247.

How to find the GCF of 30233 and 30247?

We will first find the prime factorization of 30233 and 30247. After we will calculate the factors of 30233 and 30247 and find the biggest common factor number .

Step-1: Prime Factorization of 30233

Prime factors of 30233 are 7, 617. Prime factorization of 30233 in exponential form is:

30233 = 7² × 617¹

Step-2: Prime Factorization of 30247

Prime factors of 30247 are 7, 29, 149. Prime factorization of 30247 in exponential form is:

30247 = 7¹ × 29¹ × 149¹

Step-3: Factors of 30233

List of positive integer factors of 30233 that divides 30233 without a remainder.

1, 7, 49, 617, 4319

Step-4: Factors of 30247

List of positive integer factors of 30247 that divides 30233 without a remainder.

1, 7, 29, 149, 203, 1043, 4321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30233 and 30247. The biggest common factor number is the GCF number.
So the greatest common factor 30233 and 30247 is 7.

Also check out the Least Common Multiple of 30233 and 30247