What is the Greatest Common Factor of 40545 and 40554?

Greatest common factor (GCF) of 40545 and 40554 is 9.

GCF(40545,40554) = 9

We will now calculate the prime factors of 40545 and 40554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40545 and 40554.

How to find the GCF of 40545 and 40554?

We will first find the prime factorization of 40545 and 40554. After we will calculate the factors of 40545 and 40554 and find the biggest common factor number .

Step-1: Prime Factorization of 40545

Prime factors of 40545 are 3, 5, 17, 53. Prime factorization of 40545 in exponential form is:

40545 = 3² × 5¹ × 17¹ × 53¹

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 40545

List of positive integer factors of 40545 that divides 40545 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 53, 85, 153, 159, 255, 265, 477, 765, 795, 901, 2385, 2703, 4505, 8109, 13515

Step-4: Factors of 40554

List of positive integer factors of 40554 that divides 40545 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 40545 and 40554. The biggest common factor number is the GCF number.
So the greatest common factor 40545 and 40554 is 9.

Also check out the Least Common Multiple of 40545 and 40554