What is the Greatest Common Factor of 8036 and 8050?

Greatest common factor (GCF) of 8036 and 8050 is 14.

GCF(8036,8050) = 14

We will now calculate the prime factors of 8036 and 8050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8036 and 8050.

How to find the GCF of 8036 and 8050?

We will first find the prime factorization of 8036 and 8050. After we will calculate the factors of 8036 and 8050 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8050

Prime factors of 8050 are 2, 5, 7, 23. Prime factorization of 8050 in exponential form is:

8050 = 2¹ × 5² × 7¹ × 23¹

Step-3: Factors of 8036

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

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

Step-4: Factors of 8050

List of positive integer factors of 8050 that divides 8036 without a remainder.

1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8036 and 8050. The biggest common factor number is the GCF number.
So the greatest common factor 8036 and 8050 is 14.

Also check out the Least Common Multiple of 8036 and 8050