What is the Greatest Common Factor of 8130 and 8140?

Greatest common factor (GCF) of 8130 and 8140 is 10.

GCF(8130,8140) = 10

We will now calculate the prime factors of 8130 and 8140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8130 and 8140.

How to find the GCF of 8130 and 8140?

We will first find the prime factorization of 8130 and 8140. After we will calculate the factors of 8130 and 8140 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 8140

Prime factors of 8140 are 2, 5, 11, 37. Prime factorization of 8140 in exponential form is:

8140 = 2² × 5¹ × 11¹ × 37¹

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 8140

List of positive integer factors of 8140 that divides 8130 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8130 and 8140. The biggest common factor number is the GCF number.
So the greatest common factor 8130 and 8140 is 10.

Also check out the Least Common Multiple of 8130 and 8140