What is the Greatest Common Factor of 8031 and 8040?

Greatest common factor (GCF) of 8031 and 8040 is 3.

GCF(8031,8040) = 3

We will now calculate the prime factors of 8031 and 8040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8031 and 8040.

How to find the GCF of 8031 and 8040?

We will first find the prime factorization of 8031 and 8040. After we will calculate the factors of 8031 and 8040 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 8040

Prime factors of 8040 are 2, 3, 5, 67. Prime factorization of 8040 in exponential form is:

8040 = 2³ × 3¹ × 5¹ × 67¹

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 8040

List of positive integer factors of 8040 that divides 8031 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8031 and 8040. The biggest common factor number is the GCF number.
So the greatest common factor 8031 and 8040 is 3.

Also check out the Least Common Multiple of 8031 and 8040