What is the Greatest Common Factor of 8121 and 8127?

Greatest common factor (GCF) of 8121 and 8127 is 3.

GCF(8121,8127) = 3

We will now calculate the prime factors of 8121 and 8127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8121 and 8127.

How to find the GCF of 8121 and 8127?

We will first find the prime factorization of 8121 and 8127. After we will calculate the factors of 8121 and 8127 and find the biggest common factor number .

Step-1: Prime Factorization of 8121

Prime factors of 8121 are 3, 2707. Prime factorization of 8121 in exponential form is:

8121 = 3¹ × 2707¹

Step-2: Prime Factorization of 8127

Prime factors of 8127 are 3, 7, 43. Prime factorization of 8127 in exponential form is:

8127 = 3³ × 7¹ × 43¹

Step-3: Factors of 8121

List of positive integer factors of 8121 that divides 8121 without a remainder.

1, 3, 2707

Step-4: Factors of 8127

List of positive integer factors of 8127 that divides 8121 without a remainder.

1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8121 and 8127. The biggest common factor number is the GCF number.
So the greatest common factor 8121 and 8127 is 3.

Also check out the Least Common Multiple of 8121 and 8127