What is the Greatest Common Factor of 8130 and 8139?

Greatest common factor (GCF) of 8130 and 8139 is 3.

GCF(8130,8139) = 3

We will now calculate the prime factors of 8130 and 8139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8130 and 8139.

How to find the GCF of 8130 and 8139?

We will first find the prime factorization of 8130 and 8139. After we will calculate the factors of 8130 and 8139 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 8139

Prime factors of 8139 are 3, 2713. Prime factorization of 8139 in exponential form is:

8139 = 3¹ × 2713¹

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 8139

List of positive integer factors of 8139 that divides 8130 without a remainder.

1, 3, 2713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8130 and 8139. The biggest common factor number is the GCF number.
So the greatest common factor 8130 and 8139 is 3.

Also check out the Least Common Multiple of 8130 and 8139