What is the Greatest Common Factor of 5278 and 5291?

Greatest common factor (GCF) of 5278 and 5291 is 13.

GCF(5278,5291) = 13

We will now calculate the prime factors of 5278 and 5291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5278 and 5291.

How to find the GCF of 5278 and 5291?

We will first find the prime factorization of 5278 and 5291. After we will calculate the factors of 5278 and 5291 and find the biggest common factor number .

Step-1: Prime Factorization of 5278

Prime factors of 5278 are 2, 7, 13, 29. Prime factorization of 5278 in exponential form is:

5278 = 2¹ × 7¹ × 13¹ × 29¹

Step-2: 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-3: Factors of 5278

List of positive integer factors of 5278 that divides 5278 without a remainder.

1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639

Step-4: Factors of 5291

List of positive integer factors of 5291 that divides 5278 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5278 and 5291. The biggest common factor number is the GCF number.
So the greatest common factor 5278 and 5291 is 13.

Also check out the Least Common Multiple of 5278 and 5291