What is the Greatest Common Factor of 5130 and 5143?

Greatest common factor (GCF) of 5130 and 5143 is 1.

GCF(5130,5143) = 1

We will now calculate the prime factors of 5130 and 5143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5130 and 5143.

How to find the GCF of 5130 and 5143?

We will first find the prime factorization of 5130 and 5143. After we will calculate the factors of 5130 and 5143 and find the biggest common factor number .

Step-1: Prime Factorization of 5130

Prime factors of 5130 are 2, 3, 5, 19. Prime factorization of 5130 in exponential form is:

5130 = 2¹ × 3³ × 5¹ × 19¹

Step-2: Prime Factorization of 5143

Prime factors of 5143 are 37, 139. Prime factorization of 5143 in exponential form is:

5143 = 37¹ × 139¹

Step-3: Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565

Step-4: Factors of 5143

List of positive integer factors of 5143 that divides 5130 without a remainder.

1, 37, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5130 and 5143. The biggest common factor number is the GCF number.
So the greatest common factor 5130 and 5143 is 1.

Also check out the Least Common Multiple of 5130 and 5143