What is the Greatest Common Factor of 5149 and 5161?

Greatest common factor (GCF) of 5149 and 5161 is 1.

GCF(5149,5161) = 1

We will now calculate the prime factors of 5149 and 5161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5149 and 5161.

How to find the GCF of 5149 and 5161?

We will first find the prime factorization of 5149 and 5161. After we will calculate the factors of 5149 and 5161 and find the biggest common factor number .

Step-1: Prime Factorization of 5149

Prime factors of 5149 are 19, 271. Prime factorization of 5149 in exponential form is:

5149 = 19¹ × 271¹

Step-2: Prime Factorization of 5161

Prime factors of 5161 are 13, 397. Prime factorization of 5161 in exponential form is:

5161 = 13¹ × 397¹

Step-3: Factors of 5149

List of positive integer factors of 5149 that divides 5149 without a remainder.

1, 19, 271

Step-4: Factors of 5161

List of positive integer factors of 5161 that divides 5149 without a remainder.

1, 13, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5149 and 5161. The biggest common factor number is the GCF number.
So the greatest common factor 5149 and 5161 is 1.

Also check out the Least Common Multiple of 5149 and 5161