What is the Greatest Common Factor of 16219 and 16236?

Greatest common factor (GCF) of 16219 and 16236 is 1.

GCF(16219,16236) = 1

We will now calculate the prime factors of 16219 and 16236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16219 and 16236.

How to find the GCF of 16219 and 16236?

We will first find the prime factorization of 16219 and 16236. After we will calculate the factors of 16219 and 16236 and find the biggest common factor number .

Step-1: Prime Factorization of 16219

Prime factors of 16219 are 7, 331. Prime factorization of 16219 in exponential form is:

16219 = 7² × 331¹

Step-2: Prime Factorization of 16236

Prime factors of 16236 are 2, 3, 11, 41. Prime factorization of 16236 in exponential form is:

16236 = 2² × 3² × 11¹ × 41¹

Step-3: Factors of 16219

List of positive integer factors of 16219 that divides 16219 without a remainder.

1, 7, 49, 331, 2317

Step-4: Factors of 16236

List of positive integer factors of 16236 that divides 16219 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 41, 44, 66, 82, 99, 123, 132, 164, 198, 246, 369, 396, 451, 492, 738, 902, 1353, 1476, 1804, 2706, 4059, 5412, 8118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16219 and 16236. The biggest common factor number is the GCF number.
So the greatest common factor 16219 and 16236 is 1.

Also check out the Least Common Multiple of 16219 and 16236