What is the Greatest Common Factor of 8031 and 8050?

Greatest common factor (GCF) of 8031 and 8050 is 1.

GCF(8031,8050) = 1

We will now calculate the prime factors of 8031 and 8050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8031 and 8050.

How to find the GCF of 8031 and 8050?

We will first find the prime factorization of 8031 and 8050. After we will calculate the factors of 8031 and 8050 and find the biggest common factor number .

Step-1: Prime Factorization of 8031

Prime factors of 8031 are 3, 2677. Prime factorization of 8031 in exponential form is:

8031 = 3¹ × 2677¹

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 8031

List of positive integer factors of 8031 that divides 8031 without a remainder.

1, 3, 2677

Step-4: Factors of 8050

List of positive integer factors of 8050 that divides 8031 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 8031 and 8050. The biggest common factor number is the GCF number.
So the greatest common factor 8031 and 8050 is 1.

Also check out the Least Common Multiple of 8031 and 8050