What is the Greatest Common Factor of 16251 and 16255?

Greatest common factor (GCF) of 16251 and 16255 is 1.

GCF(16251,16255) = 1

We will now calculate the prime factors of 16251 and 16255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16251 and 16255.

How to find the GCF of 16251 and 16255?

We will first find the prime factorization of 16251 and 16255. After we will calculate the factors of 16251 and 16255 and find the biggest common factor number .

Step-1: Prime Factorization of 16251

Prime factors of 16251 are 3, 5417. Prime factorization of 16251 in exponential form is:

16251 = 3¹ × 5417¹

Step-2: Prime Factorization of 16255

Prime factors of 16255 are 5, 3251. Prime factorization of 16255 in exponential form is:

16255 = 5¹ × 3251¹

Step-3: Factors of 16251

List of positive integer factors of 16251 that divides 16251 without a remainder.

1, 3, 5417

Step-4: Factors of 16255

List of positive integer factors of 16255 that divides 16251 without a remainder.

1, 5, 3251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16251 and 16255. The biggest common factor number is the GCF number.
So the greatest common factor 16251 and 16255 is 1.

Also check out the Least Common Multiple of 16251 and 16255