What is the Greatest Common Factor of 8130 and 8150?

Greatest common factor (GCF) of 8130 and 8150 is 10.

GCF(8130,8150) = 10

We will now calculate the prime factors of 8130 and 8150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8130 and 8150.

How to find the GCF of 8130 and 8150?

We will first find the prime factorization of 8130 and 8150. After we will calculate the factors of 8130 and 8150 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 8150

Prime factors of 8150 are 2, 5, 163. Prime factorization of 8150 in exponential form is:

8150 = 2¹ × 5² × 163¹

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 8150

List of positive integer factors of 8150 that divides 8130 without a remainder.

1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8130 and 8150. The biggest common factor number is the GCF number.
So the greatest common factor 8130 and 8150 is 10.

Also check out the Least Common Multiple of 8130 and 8150