What is the Greatest Common Factor of 8140 and 8155?

Greatest common factor (GCF) of 8140 and 8155 is 5.

GCF(8140,8155) = 5

We will now calculate the prime factors of 8140 and 8155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8140 and 8155.

How to find the GCF of 8140 and 8155?

We will first find the prime factorization of 8140 and 8155. After we will calculate the factors of 8140 and 8155 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8155

Prime factors of 8155 are 5, 7, 233. Prime factorization of 8155 in exponential form is:

8155 = 5¹ × 7¹ × 233¹

Step-3: Factors of 8140

List of positive integer factors of 8140 that divides 8140 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

Step-4: Factors of 8155

List of positive integer factors of 8155 that divides 8140 without a remainder.

1, 5, 7, 35, 233, 1165, 1631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8140 and 8155. The biggest common factor number is the GCF number.
So the greatest common factor 8140 and 8155 is 5.

Also check out the Least Common Multiple of 8140 and 8155