What is the Greatest Common Factor of 40080 and 40089?

Greatest common factor (GCF) of 40080 and 40089 is 3.

GCF(40080,40089) = 3

We will now calculate the prime factors of 40080 and 40089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40080 and 40089.

How to find the GCF of 40080 and 40089?

We will first find the prime factorization of 40080 and 40089. After we will calculate the factors of 40080 and 40089 and find the biggest common factor number .

Step-1: Prime Factorization of 40080

Prime factors of 40080 are 2, 3, 5, 167. Prime factorization of 40080 in exponential form is:

40080 = 2⁴ × 3¹ × 5¹ × 167¹

Step-2: Prime Factorization of 40089

Prime factors of 40089 are 3, 7, 23, 83. Prime factorization of 40089 in exponential form is:

40089 = 3¹ × 7¹ × 23¹ × 83¹

Step-3: Factors of 40080

List of positive integer factors of 40080 that divides 40080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 167, 240, 334, 501, 668, 835, 1002, 1336, 1670, 2004, 2505, 2672, 3340, 4008, 5010, 6680, 8016, 10020, 13360, 20040

Step-4: Factors of 40089

List of positive integer factors of 40089 that divides 40080 without a remainder.

1, 3, 7, 21, 23, 69, 83, 161, 249, 483, 581, 1743, 1909, 5727, 13363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40080 and 40089. The biggest common factor number is the GCF number.
So the greatest common factor 40080 and 40089 is 3.

Also check out the Least Common Multiple of 40080 and 40089