What is the Greatest Common Factor of 41553 and 41559?

Greatest common factor (GCF) of 41553 and 41559 is 3.

GCF(41553,41559) = 3

We will now calculate the prime factors of 41553 and 41559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41553 and 41559.

How to find the GCF of 41553 and 41559?

We will first find the prime factorization of 41553 and 41559. After we will calculate the factors of 41553 and 41559 and find the biggest common factor number .

Step-1: Prime Factorization of 41553

Prime factors of 41553 are 3, 19. Prime factorization of 41553 in exponential form is:

41553 = 3⁷ × 19¹

Step-2: Prime Factorization of 41559

Prime factors of 41559 are 3, 7, 1979. Prime factorization of 41559 in exponential form is:

41559 = 3¹ × 7¹ × 1979¹

Step-3: Factors of 41553

List of positive integer factors of 41553 that divides 41553 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 729, 1539, 2187, 4617, 13851

Step-4: Factors of 41559

List of positive integer factors of 41559 that divides 41553 without a remainder.

1, 3, 7, 21, 1979, 5937, 13853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41553 and 41559. The biggest common factor number is the GCF number.
So the greatest common factor 41553 and 41559 is 3.

Also check out the Least Common Multiple of 41553 and 41559