What is the Greatest Common Factor of 40056 and 40068?

Greatest common factor (GCF) of 40056 and 40068 is 12.

GCF(40056,40068) = 12

We will now calculate the prime factors of 40056 and 40068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40056 and 40068.

How to find the GCF of 40056 and 40068?

We will first find the prime factorization of 40056 and 40068. After we will calculate the factors of 40056 and 40068 and find the biggest common factor number .

Step-1: Prime Factorization of 40056

Prime factors of 40056 are 2, 3, 1669. Prime factorization of 40056 in exponential form is:

40056 = 2³ × 3¹ × 1669¹

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 40056

List of positive integer factors of 40056 that divides 40056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1669, 3338, 5007, 6676, 10014, 13352, 20028

Step-4: Factors of 40068

List of positive integer factors of 40068 that divides 40056 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 40056 and 40068. The biggest common factor number is the GCF number.
So the greatest common factor 40056 and 40068 is 12.

Also check out the Least Common Multiple of 40056 and 40068