What is the Greatest Common Factor of 16292 and 16310?

Greatest common factor (GCF) of 16292 and 16310 is 2.

GCF(16292,16310) = 2

We will now calculate the prime factors of 16292 and 16310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16292 and 16310.

How to find the GCF of 16292 and 16310?

We will first find the prime factorization of 16292 and 16310. After we will calculate the factors of 16292 and 16310 and find the biggest common factor number .

Step-1: Prime Factorization of 16292

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

16292 = 2² × 4073¹

Step-2: Prime Factorization of 16310

Prime factors of 16310 are 2, 5, 7, 233. Prime factorization of 16310 in exponential form is:

16310 = 2¹ × 5¹ × 7¹ × 233¹

Step-3: Factors of 16292

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

1, 2, 4, 4073, 8146

Step-4: Factors of 16310

List of positive integer factors of 16310 that divides 16292 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 233, 466, 1165, 1631, 2330, 3262, 8155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16292 and 16310. The biggest common factor number is the GCF number.
So the greatest common factor 16292 and 16310 is 2.

Also check out the Least Common Multiple of 16292 and 16310