What is the Greatest Common Factor of 40545 and 40550?

Greatest common factor (GCF) of 40545 and 40550 is 5.

GCF(40545,40550) = 5

We will now calculate the prime factors of 40545 and 40550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40545 and 40550.

How to find the GCF of 40545 and 40550?

We will first find the prime factorization of 40545 and 40550. After we will calculate the factors of 40545 and 40550 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 40550

Prime factors of 40550 are 2, 5, 811. Prime factorization of 40550 in exponential form is:

40550 = 2¹ × 5² × 811¹

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 40550

List of positive integer factors of 40550 that divides 40545 without a remainder.

1, 2, 5, 10, 25, 50, 811, 1622, 4055, 8110, 20275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40545 and 40550. The biggest common factor number is the GCF number.
So the greatest common factor 40545 and 40550 is 5.

Also check out the Least Common Multiple of 40545 and 40550