What is the Greatest Common Factor of 8099 and 8113?

Greatest common factor (GCF) of 8099 and 8113 is 7.

GCF(8099,8113) = 7

We will now calculate the prime factors of 8099 and 8113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8099 and 8113.

How to find the GCF of 8099 and 8113?

We will first find the prime factorization of 8099 and 8113. After we will calculate the factors of 8099 and 8113 and find the biggest common factor number .

Step-1: Prime Factorization of 8099

Prime factors of 8099 are 7, 13, 89. Prime factorization of 8099 in exponential form is:

8099 = 7¹ × 13¹ × 89¹

Step-2: 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-3: Factors of 8099

List of positive integer factors of 8099 that divides 8099 without a remainder.

1, 7, 13, 89, 91, 623, 1157

Step-4: Factors of 8113

List of positive integer factors of 8113 that divides 8099 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8099 and 8113. The biggest common factor number is the GCF number.
So the greatest common factor 8099 and 8113 is 7.

Also check out the Least Common Multiple of 8099 and 8113