What is the Greatest Common Factor of 5130 and 5135?

Greatest common factor (GCF) of 5130 and 5135 is 5.

GCF(5130,5135) = 5

We will now calculate the prime factors of 5130 and 5135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5130 and 5135.

How to find the GCF of 5130 and 5135?

We will first find the prime factorization of 5130 and 5135. After we will calculate the factors of 5130 and 5135 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 5135

Prime factors of 5135 are 5, 13, 79. Prime factorization of 5135 in exponential form is:

5135 = 5¹ × 13¹ × 79¹

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 5135

List of positive integer factors of 5135 that divides 5130 without a remainder.

1, 5, 13, 65, 79, 395, 1027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5130 and 5135. The biggest common factor number is the GCF number.
So the greatest common factor 5130 and 5135 is 5.

Also check out the Least Common Multiple of 5130 and 5135