What is the Greatest Common Factor of 30199 and 30212?

Greatest common factor (GCF) of 30199 and 30212 is 13.

GCF(30199,30212) = 13

We will now calculate the prime factors of 30199 and 30212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30199 and 30212.

How to find the GCF of 30199 and 30212?

We will first find the prime factorization of 30199 and 30212. After we will calculate the factors of 30199 and 30212 and find the biggest common factor number .

Step-1: Prime Factorization of 30199

Prime factors of 30199 are 13, 23, 101. Prime factorization of 30199 in exponential form is:

30199 = 13¹ × 23¹ × 101¹

Step-2: Prime Factorization of 30212

Prime factors of 30212 are 2, 7, 13, 83. Prime factorization of 30212 in exponential form is:

30212 = 2² × 7¹ × 13¹ × 83¹

Step-3: Factors of 30199

List of positive integer factors of 30199 that divides 30199 without a remainder.

1, 13, 23, 101, 299, 1313, 2323

Step-4: Factors of 30212

List of positive integer factors of 30212 that divides 30199 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 83, 91, 166, 182, 332, 364, 581, 1079, 1162, 2158, 2324, 4316, 7553, 15106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30199 and 30212. The biggest common factor number is the GCF number.
So the greatest common factor 30199 and 30212 is 13.

Also check out the Least Common Multiple of 30199 and 30212