What is the Greatest Common Factor of 5313 and 5330?

Greatest common factor (GCF) of 5313 and 5330 is 1.

GCF(5313,5330) = 1

We will now calculate the prime factors of 5313 and 5330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5313 and 5330.

How to find the GCF of 5313 and 5330?

We will first find the prime factorization of 5313 and 5330. After we will calculate the factors of 5313 and 5330 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 5330

Prime factors of 5330 are 2, 5, 13, 41. Prime factorization of 5330 in exponential form is:

5330 = 2¹ × 5¹ × 13¹ × 41¹

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 5330

List of positive integer factors of 5330 that divides 5313 without a remainder.

1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5313 and 5330. The biggest common factor number is the GCF number.
So the greatest common factor 5313 and 5330 is 1.

Also check out the Least Common Multiple of 5313 and 5330