What is the Greatest Common Factor of 40089 and 40101?

Greatest common factor (GCF) of 40089 and 40101 is 3.

GCF(40089,40101) = 3

We will now calculate the prime factors of 40089 and 40101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40089 and 40101.

How to find the GCF of 40089 and 40101?

We will first find the prime factorization of 40089 and 40101. After we will calculate the factors of 40089 and 40101 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40101

Prime factors of 40101 are 3, 13367. Prime factorization of 40101 in exponential form is:

40101 = 3¹ × 13367¹

Step-3: Factors of 40089

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

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

Step-4: Factors of 40101

List of positive integer factors of 40101 that divides 40089 without a remainder.

1, 3, 13367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40089 and 40101. The biggest common factor number is the GCF number.
So the greatest common factor 40089 and 40101 is 3.

Also check out the Least Common Multiple of 40089 and 40101