What is the Greatest Common Factor of 16252 and 16269?

Greatest common factor (GCF) of 16252 and 16269 is 17.

GCF(16252,16269) = 17

We will now calculate the prime factors of 16252 and 16269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16252 and 16269.

How to find the GCF of 16252 and 16269?

We will first find the prime factorization of 16252 and 16269. After we will calculate the factors of 16252 and 16269 and find the biggest common factor number .

Step-1: Prime Factorization of 16252

Prime factors of 16252 are 2, 17, 239. Prime factorization of 16252 in exponential form is:

16252 = 2² × 17¹ × 239¹

Step-2: Prime Factorization of 16269

Prime factors of 16269 are 3, 11, 17, 29. Prime factorization of 16269 in exponential form is:

16269 = 3¹ × 11¹ × 17¹ × 29¹

Step-3: Factors of 16252

List of positive integer factors of 16252 that divides 16252 without a remainder.

1, 2, 4, 17, 34, 68, 239, 478, 956, 4063, 8126

Step-4: Factors of 16269

List of positive integer factors of 16269 that divides 16252 without a remainder.

1, 3, 11, 17, 29, 33, 51, 87, 187, 319, 493, 561, 957, 1479, 5423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16252 and 16269. The biggest common factor number is the GCF number.
So the greatest common factor 16252 and 16269 is 17.

Also check out the Least Common Multiple of 16252 and 16269