What is the Greatest Common Factor of 8140 and 8158?

Greatest common factor (GCF) of 8140 and 8158 is 2.

GCF(8140,8158) = 2

We will now calculate the prime factors of 8140 and 8158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8140 and 8158.

How to find the GCF of 8140 and 8158?

We will first find the prime factorization of 8140 and 8158. After we will calculate the factors of 8140 and 8158 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 8158

Prime factors of 8158 are 2, 4079. Prime factorization of 8158 in exponential form is:

8158 = 2¹ × 4079¹

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 8158

List of positive integer factors of 8158 that divides 8140 without a remainder.

1, 2, 4079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8140 and 8158. The biggest common factor number is the GCF number.
So the greatest common factor 8140 and 8158 is 2.

Also check out the Least Common Multiple of 8140 and 8158