What is the Greatest Common Factor of 8130 and 8135?

Greatest common factor (GCF) of 8130 and 8135 is 5.

GCF(8130,8135) = 5

We will now calculate the prime factors of 8130 and 8135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8130 and 8135.

How to find the GCF of 8130 and 8135?

We will first find the prime factorization of 8130 and 8135. After we will calculate the factors of 8130 and 8135 and find the biggest common factor number .

Step-1: Prime Factorization of 8130

Prime factors of 8130 are 2, 3, 5, 271. Prime factorization of 8130 in exponential form is:

8130 = 2¹ × 3¹ × 5¹ × 271¹

Step-2: Prime Factorization of 8135

Prime factors of 8135 are 5, 1627. Prime factorization of 8135 in exponential form is:

8135 = 5¹ × 1627¹

Step-3: Factors of 8130

List of positive integer factors of 8130 that divides 8130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065

Step-4: Factors of 8135

List of positive integer factors of 8135 that divides 8130 without a remainder.

1, 5, 1627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8130 and 8135. The biggest common factor number is the GCF number.
So the greatest common factor 8130 and 8135 is 5.

Also check out the Least Common Multiple of 8130 and 8135