What is the Greatest Common Factor of 16255 and 16260?

Greatest common factor (GCF) of 16255 and 16260 is 5.

GCF(16255,16260) = 5

We will now calculate the prime factors of 16255 and 16260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16255 and 16260.

How to find the GCF of 16255 and 16260?

We will first find the prime factorization of 16255 and 16260. After we will calculate the factors of 16255 and 16260 and find the biggest common factor number .

Step-1: Prime Factorization of 16255

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

16255 = 5¹ × 3251¹

Step-2: Prime Factorization of 16260

Prime factors of 16260 are 2, 3, 5, 271. Prime factorization of 16260 in exponential form is:

16260 = 2² × 3¹ × 5¹ × 271¹

Step-3: Factors of 16255

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

1, 5, 3251

Step-4: Factors of 16260

List of positive integer factors of 16260 that divides 16255 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 271, 542, 813, 1084, 1355, 1626, 2710, 3252, 4065, 5420, 8130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16255 and 16260. The biggest common factor number is the GCF number.
So the greatest common factor 16255 and 16260 is 5.

Also check out the Least Common Multiple of 16255 and 16260