What is the Greatest Common Factor of 30219 and 30233?

Greatest common factor (GCF) of 30219 and 30233 is 7.

GCF(30219,30233) = 7

We will now calculate the prime factors of 30219 and 30233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30219 and 30233.

How to find the GCF of 30219 and 30233?

We will first find the prime factorization of 30219 and 30233. After we will calculate the factors of 30219 and 30233 and find the biggest common factor number .

Step-1: Prime Factorization of 30219

Prime factors of 30219 are 3, 7, 1439. Prime factorization of 30219 in exponential form is:

30219 = 3¹ × 7¹ × 1439¹

Step-2: Prime Factorization of 30233

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

30233 = 7² × 617¹

Step-3: Factors of 30219

List of positive integer factors of 30219 that divides 30219 without a remainder.

1, 3, 7, 21, 1439, 4317, 10073

Step-4: Factors of 30233

List of positive integer factors of 30233 that divides 30219 without a remainder.

1, 7, 49, 617, 4319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30219 and 30233. The biggest common factor number is the GCF number.
So the greatest common factor 30219 and 30233 is 7.

Also check out the Least Common Multiple of 30219 and 30233