What is the Greatest Common Factor of 8040 and 8049?

Greatest common factor (GCF) of 8040 and 8049 is 3.

GCF(8040,8049) = 3

We will now calculate the prime factors of 8040 and 8049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8040 and 8049.

How to find the GCF of 8040 and 8049?

We will first find the prime factorization of 8040 and 8049. After we will calculate the factors of 8040 and 8049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8049

Prime factors of 8049 are 3, 2683. Prime factorization of 8049 in exponential form is:

8049 = 3¹ × 2683¹

Step-3: Factors of 8040

List of positive integer factors of 8040 that divides 8040 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

Step-4: Factors of 8049

List of positive integer factors of 8049 that divides 8040 without a remainder.

1, 3, 2683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8040 and 8049. The biggest common factor number is the GCF number.
So the greatest common factor 8040 and 8049 is 3.

Also check out the Least Common Multiple of 8040 and 8049