What is the Greatest Common Factor of 40554 and 40566?

Greatest common factor (GCF) of 40554 and 40566 is 6.

GCF(40554,40566) = 6

We will now calculate the prime factors of 40554 and 40566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40554 and 40566.

How to find the GCF of 40554 and 40566?

We will first find the prime factorization of 40554 and 40566. After we will calculate the factors of 40554 and 40566 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40566

Prime factors of 40566 are 2, 3, 6761. Prime factorization of 40566 in exponential form is:

40566 = 2¹ × 3¹ × 6761¹

Step-3: Factors of 40554

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

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

Step-4: Factors of 40566

List of positive integer factors of 40566 that divides 40554 without a remainder.

1, 2, 3, 6, 6761, 13522, 20283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40554 and 40566. The biggest common factor number is the GCF number.
So the greatest common factor 40554 and 40566 is 6.

Also check out the Least Common Multiple of 40554 and 40566