What is the Greatest Common Factor of 8113 and 8127?

Greatest common factor (GCF) of 8113 and 8127 is 7.

GCF(8113,8127) = 7

We will now calculate the prime factors of 8113 and 8127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8113 and 8127.

How to find the GCF of 8113 and 8127?

We will first find the prime factorization of 8113 and 8127. After we will calculate the factors of 8113 and 8127 and find the biggest common factor number .

Step-1: Prime Factorization of 8113

Prime factors of 8113 are 7, 19, 61. Prime factorization of 8113 in exponential form is:

8113 = 7¹ × 19¹ × 61¹

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 8113

List of positive integer factors of 8113 that divides 8113 without a remainder.

1, 7, 19, 61, 133, 427, 1159

Step-4: Factors of 8127

List of positive integer factors of 8127 that divides 8113 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 8113 and 8127. The biggest common factor number is the GCF number.
So the greatest common factor 8113 and 8127 is 7.

Also check out the Least Common Multiple of 8113 and 8127