What is the Greatest Common Factor of 40545 and 40561?

Greatest common factor (GCF) of 40545 and 40561 is 1.

GCF(40545,40561) = 1

We will now calculate the prime factors of 40545 and 40561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40545 and 40561.

How to find the GCF of 40545 and 40561?

We will first find the prime factorization of 40545 and 40561. After we will calculate the factors of 40545 and 40561 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 40561

Prime factors of 40561 are 47, 863. Prime factorization of 40561 in exponential form is:

40561 = 47¹ × 863¹

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 40561

List of positive integer factors of 40561 that divides 40545 without a remainder.

1, 47, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40545 and 40561. The biggest common factor number is the GCF number.
So the greatest common factor 40545 and 40561 is 1.

Also check out the Least Common Multiple of 40545 and 40561