What is the Greatest Common Factor of 40536 and 40554?

Greatest common factor (GCF) of 40536 and 40554 is 18.

GCF(40536,40554) = 18

We will now calculate the prime factors of 40536 and 40554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40536 and 40554.

How to find the GCF of 40536 and 40554?

We will first find the prime factorization of 40536 and 40554. After we will calculate the factors of 40536 and 40554 and find the biggest common factor number .

Step-1: Prime Factorization of 40536

Prime factors of 40536 are 2, 3, 563. Prime factorization of 40536 in exponential form is:

40536 = 2³ × 3² × 563¹

Step-2: Prime Factorization of 40554

Prime factors of 40554 are 2, 3, 751. Prime factorization of 40554 in exponential form is:

40554 = 2¹ × 3³ × 751¹

Step-3: Factors of 40536

List of positive integer factors of 40536 that divides 40536 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 563, 1126, 1689, 2252, 3378, 4504, 5067, 6756, 10134, 13512, 20268

Step-4: Factors of 40554

List of positive integer factors of 40554 that divides 40536 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 751, 1502, 2253, 4506, 6759, 13518, 20277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40536 and 40554. The biggest common factor number is the GCF number.
So the greatest common factor 40536 and 40554 is 18.

Also check out the Least Common Multiple of 40536 and 40554