What is the Greatest Common Factor of 8140 and 8149?

Greatest common factor (GCF) of 8140 and 8149 is 1.

GCF(8140,8149) = 1

We will now calculate the prime factors of 8140 and 8149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8140 and 8149.

How to find the GCF of 8140 and 8149?

We will first find the prime factorization of 8140 and 8149. After we will calculate the factors of 8140 and 8149 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 8149

Prime factors of 8149 are 29, 281. Prime factorization of 8149 in exponential form is:

8149 = 29¹ × 281¹

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 8149

List of positive integer factors of 8149 that divides 8140 without a remainder.

1, 29, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8140 and 8149. The biggest common factor number is the GCF number.
So the greatest common factor 8140 and 8149 is 1.

Also check out the Least Common Multiple of 8140 and 8149