What is the Greatest Common Factor of 16235 and 16252?

Greatest common factor (GCF) of 16235 and 16252 is 17.

GCF(16235,16252) = 17

We will now calculate the prime factors of 16235 and 16252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16235 and 16252.

How to find the GCF of 16235 and 16252?

We will first find the prime factorization of 16235 and 16252. After we will calculate the factors of 16235 and 16252 and find the biggest common factor number .

Step-1: Prime Factorization of 16235

Prime factors of 16235 are 5, 17, 191. Prime factorization of 16235 in exponential form is:

16235 = 5¹ × 17¹ × 191¹

Step-2: 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-3: Factors of 16235

List of positive integer factors of 16235 that divides 16235 without a remainder.

1, 5, 17, 85, 191, 955, 3247

Step-4: Factors of 16252

List of positive integer factors of 16252 that divides 16235 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16235 and 16252. The biggest common factor number is the GCF number.
So the greatest common factor 16235 and 16252 is 17.

Also check out the Least Common Multiple of 16235 and 16252