What is the Greatest Common Factor of 16049 and 16057?

Greatest common factor (GCF) of 16049 and 16057 is 1.

GCF(16049,16057) = 1

We will now calculate the prime factors of 16049 and 16057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16049 and 16057.

How to find the GCF of 16049 and 16057?

We will first find the prime factorization of 16049 and 16057. After we will calculate the factors of 16049 and 16057 and find the biggest common factor number .

Step-1: Prime Factorization of 16049

Prime factors of 16049 are 11, 1459. Prime factorization of 16049 in exponential form is:

16049 = 11¹ × 1459¹

Step-2: Prime Factorization of 16057

Prime factors of 16057 are 16057. Prime factorization of 16057 in exponential form is:

16057 = 16057¹

Step-3: Factors of 16049

List of positive integer factors of 16049 that divides 16049 without a remainder.

1, 11, 1459

Step-4: Factors of 16057

List of positive integer factors of 16057 that divides 16049 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16049 and 16057. The biggest common factor number is the GCF number.
So the greatest common factor 16049 and 16057 is 1.

Also check out the Least Common Multiple of 16049 and 16057