What is the Greatest Common Factor of 5313 and 5331?

Greatest common factor (GCF) of 5313 and 5331 is 3.

GCF(5313,5331) = 3

We will now calculate the prime factors of 5313 and 5331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5313 and 5331.

How to find the GCF of 5313 and 5331?

We will first find the prime factorization of 5313 and 5331. After we will calculate the factors of 5313 and 5331 and find the biggest common factor number .

Step-1: Prime Factorization of 5313

Prime factors of 5313 are 3, 7, 11, 23. Prime factorization of 5313 in exponential form is:

5313 = 3¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 5331

Prime factors of 5331 are 3, 1777. Prime factorization of 5331 in exponential form is:

5331 = 3¹ × 1777¹

Step-3: Factors of 5313

List of positive integer factors of 5313 that divides 5313 without a remainder.

1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771

Step-4: Factors of 5331

List of positive integer factors of 5331 that divides 5313 without a remainder.

1, 3, 1777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5313 and 5331. The biggest common factor number is the GCF number.
So the greatest common factor 5313 and 5331 is 3.

Also check out the Least Common Multiple of 5313 and 5331