What is the Greatest Common Factor of 5291 and 5309?

Greatest common factor (GCF) of 5291 and 5309 is 1.

GCF(5291,5309) = 1

We will now calculate the prime factors of 5291 and 5309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5291 and 5309.

How to find the GCF of 5291 and 5309?

We will first find the prime factorization of 5291 and 5309. After we will calculate the factors of 5291 and 5309 and find the biggest common factor number .

Step-1: Prime Factorization of 5291

Prime factors of 5291 are 11, 13, 37. Prime factorization of 5291 in exponential form is:

5291 = 11¹ × 13¹ × 37¹

Step-2: Prime Factorization of 5309

Prime factors of 5309 are 5309. Prime factorization of 5309 in exponential form is:

5309 = 5309¹

Step-3: Factors of 5291

List of positive integer factors of 5291 that divides 5291 without a remainder.

1, 11, 13, 37, 143, 407, 481

Step-4: Factors of 5309

List of positive integer factors of 5309 that divides 5291 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5291 and 5309. The biggest common factor number is the GCF number.
So the greatest common factor 5291 and 5309 is 1.

Also check out the Least Common Multiple of 5291 and 5309