What is the Greatest Common Factor of 8140 and 8159?

Greatest common factor (GCF) of 8140 and 8159 is 1.

GCF(8140,8159) = 1

We will now calculate the prime factors of 8140 and 8159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8140 and 8159.

How to find the GCF of 8140 and 8159?

We will first find the prime factorization of 8140 and 8159. After we will calculate the factors of 8140 and 8159 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 8159

Prime factors of 8159 are 41, 199. Prime factorization of 8159 in exponential form is:

8159 = 41¹ × 199¹

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 8159

List of positive integer factors of 8159 that divides 8140 without a remainder.

1, 41, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8140 and 8159. The biggest common factor number is the GCF number.
So the greatest common factor 8140 and 8159 is 1.

Also check out the Least Common Multiple of 8140 and 8159