What is the Greatest Common Factor of 16288 and 16292?

Greatest common factor (GCF) of 16288 and 16292 is 4.

GCF(16288,16292) = 4

We will now calculate the prime factors of 16288 and 16292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16288 and 16292.

How to find the GCF of 16288 and 16292?

We will first find the prime factorization of 16288 and 16292. After we will calculate the factors of 16288 and 16292 and find the biggest common factor number .

Step-1: Prime Factorization of 16288

Prime factors of 16288 are 2, 509. Prime factorization of 16288 in exponential form is:

16288 = 2⁵ × 509¹

Step-2: Prime Factorization of 16292

Prime factors of 16292 are 2, 4073. Prime factorization of 16292 in exponential form is:

16292 = 2² × 4073¹

Step-3: Factors of 16288

List of positive integer factors of 16288 that divides 16288 without a remainder.

1, 2, 4, 8, 16, 32, 509, 1018, 2036, 4072, 8144

Step-4: Factors of 16292

List of positive integer factors of 16292 that divides 16288 without a remainder.

1, 2, 4, 4073, 8146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16288 and 16292. The biggest common factor number is the GCF number.
So the greatest common factor 16288 and 16292 is 4.

Also check out the Least Common Multiple of 16288 and 16292