What is the Greatest Common Factor of 16258 and 16277?

Greatest common factor (GCF) of 16258 and 16277 is 1.

GCF(16258,16277) = 1

We will now calculate the prime factors of 16258 and 16277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16258 and 16277.

How to find the GCF of 16258 and 16277?

We will first find the prime factorization of 16258 and 16277. After we will calculate the factors of 16258 and 16277 and find the biggest common factor number .

Step-1: Prime Factorization of 16258

Prime factors of 16258 are 2, 11, 739. Prime factorization of 16258 in exponential form is:

16258 = 2¹ × 11¹ × 739¹

Step-2: Prime Factorization of 16277

Prime factors of 16277 are 41, 397. Prime factorization of 16277 in exponential form is:

16277 = 41¹ × 397¹

Step-3: Factors of 16258

List of positive integer factors of 16258 that divides 16258 without a remainder.

1, 2, 11, 22, 739, 1478, 8129

Step-4: Factors of 16277

List of positive integer factors of 16277 that divides 16258 without a remainder.

1, 41, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16258 and 16277. The biggest common factor number is the GCF number.
So the greatest common factor 16258 and 16277 is 1.

Also check out the Least Common Multiple of 16258 and 16277