What is the Greatest Common Factor of 5140 and 5149?

Greatest common factor (GCF) of 5140 and 5149 is 1.

GCF(5140,5149) = 1

We will now calculate the prime factors of 5140 and 5149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5140 and 5149.

How to find the GCF of 5140 and 5149?

We will first find the prime factorization of 5140 and 5149. After we will calculate the factors of 5140 and 5149 and find the biggest common factor number .

Step-1: Prime Factorization of 5140

Prime factors of 5140 are 2, 5, 257. Prime factorization of 5140 in exponential form is:

5140 = 2² × 5¹ × 257¹

Step-2: Prime Factorization of 5149

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

5149 = 19¹ × 271¹

Step-3: Factors of 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570

Step-4: Factors of 5149

List of positive integer factors of 5149 that divides 5140 without a remainder.

1, 19, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5140 and 5149. The biggest common factor number is the GCF number.
So the greatest common factor 5140 and 5149 is 1.

Also check out the Least Common Multiple of 5140 and 5149