What is the Greatest Common Factor of 8029 and 8036?

Greatest common factor (GCF) of 8029 and 8036 is 7.

GCF(8029,8036) = 7

We will now calculate the prime factors of 8029 and 8036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8029 and 8036.

How to find the GCF of 8029 and 8036?

We will first find the prime factorization of 8029 and 8036. After we will calculate the factors of 8029 and 8036 and find the biggest common factor number .

Step-1: Prime Factorization of 8029

Prime factors of 8029 are 7, 31, 37. Prime factorization of 8029 in exponential form is:

8029 = 7¹ × 31¹ × 37¹

Step-2: Prime Factorization of 8036

Prime factors of 8036 are 2, 7, 41. Prime factorization of 8036 in exponential form is:

8036 = 2² × 7² × 41¹

Step-3: Factors of 8029

List of positive integer factors of 8029 that divides 8029 without a remainder.

1, 7, 31, 37, 217, 259, 1147

Step-4: Factors of 8036

List of positive integer factors of 8036 that divides 8029 without a remainder.

1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8029 and 8036. The biggest common factor number is the GCF number.
So the greatest common factor 8029 and 8036 is 7.

Also check out the Least Common Multiple of 8029 and 8036