What is the Greatest Common Factor of 16205 and 16212?

Greatest common factor (GCF) of 16205 and 16212 is 7.

GCF(16205,16212) = 7

We will now calculate the prime factors of 16205 and 16212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16205 and 16212.

How to find the GCF of 16205 and 16212?

We will first find the prime factorization of 16205 and 16212. After we will calculate the factors of 16205 and 16212 and find the biggest common factor number .

Step-1: Prime Factorization of 16205

Prime factors of 16205 are 5, 7, 463. Prime factorization of 16205 in exponential form is:

16205 = 5¹ × 7¹ × 463¹

Step-2: Prime Factorization of 16212

Prime factors of 16212 are 2, 3, 7, 193. Prime factorization of 16212 in exponential form is:

16212 = 2² × 3¹ × 7¹ × 193¹

Step-3: Factors of 16205

List of positive integer factors of 16205 that divides 16205 without a remainder.

1, 5, 7, 35, 463, 2315, 3241

Step-4: Factors of 16212

List of positive integer factors of 16212 that divides 16205 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 193, 386, 579, 772, 1158, 1351, 2316, 2702, 4053, 5404, 8106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16205 and 16212. The biggest common factor number is the GCF number.
So the greatest common factor 16205 and 16212 is 7.

Also check out the Least Common Multiple of 16205 and 16212