What is the Greatest Common Factor of 40545 and 40553?

Greatest common factor (GCF) of 40545 and 40553 is 1.

GCF(40545,40553) = 1

We will now calculate the prime factors of 40545 and 40553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40545 and 40553.

How to find the GCF of 40545 and 40553?

We will first find the prime factorization of 40545 and 40553. After we will calculate the factors of 40545 and 40553 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 40553

Prime factors of 40553 are 107, 379. Prime factorization of 40553 in exponential form is:

40553 = 107¹ × 379¹

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 40553

List of positive integer factors of 40553 that divides 40545 without a remainder.

1, 107, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40545 and 40553. The biggest common factor number is the GCF number.
So the greatest common factor 40545 and 40553 is 1.

Also check out the Least Common Multiple of 40545 and 40553