What is the Greatest Common Factor of 8129 and 8140?

Greatest common factor (GCF) of 8129 and 8140 is 11.

GCF(8129,8140) = 11

We will now calculate the prime factors of 8129 and 8140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8129 and 8140.

How to find the GCF of 8129 and 8140?

We will first find the prime factorization of 8129 and 8140. After we will calculate the factors of 8129 and 8140 and find the biggest common factor number .

Step-1: Prime Factorization of 8129

Prime factors of 8129 are 11, 739. Prime factorization of 8129 in exponential form is:

8129 = 11¹ × 739¹

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 8129

List of positive integer factors of 8129 that divides 8129 without a remainder.

1, 11, 739

Step-4: Factors of 8140

List of positive integer factors of 8140 that divides 8129 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 8129 and 8140. The biggest common factor number is the GCF number.
So the greatest common factor 8129 and 8140 is 11.

Also check out the Least Common Multiple of 8129 and 8140