What is the Greatest Common Factor of 40059 and 40068?

Greatest common factor (GCF) of 40059 and 40068 is 9.

GCF(40059,40068) = 9

We will now calculate the prime factors of 40059 and 40068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40059 and 40068.

How to find the GCF of 40059 and 40068?

We will first find the prime factorization of 40059 and 40068. After we will calculate the factors of 40059 and 40068 and find the biggest common factor number .

Step-1: Prime Factorization of 40059

Prime factors of 40059 are 3, 4451. Prime factorization of 40059 in exponential form is:

40059 = 3² × 4451¹

Step-2: Prime Factorization of 40068

Prime factors of 40068 are 2, 3, 7, 53. Prime factorization of 40068 in exponential form is:

40068 = 2² × 3³ × 7¹ × 53¹

Step-3: Factors of 40059

List of positive integer factors of 40059 that divides 40059 without a remainder.

1, 3, 9, 4451, 13353

Step-4: Factors of 40068

List of positive integer factors of 40068 that divides 40059 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 53, 54, 63, 84, 106, 108, 126, 159, 189, 212, 252, 318, 371, 378, 477, 636, 742, 756, 954, 1113, 1431, 1484, 1908, 2226, 2862, 3339, 4452, 5724, 6678, 10017, 13356, 20034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40059 and 40068. The biggest common factor number is the GCF number.
So the greatest common factor 40059 and 40068 is 9.

Also check out the Least Common Multiple of 40059 and 40068