What is the Greatest Common Factor of 49557 and 49563?

Greatest common factor (GCF) of 49557 and 49563 is 3.

GCF(49557,49563) = 3

We will now calculate the prime factors of 49557 and 49563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49557 and 49563.

How to find the GCF of 49557 and 49563?

We will first find the prime factorization of 49557 and 49563. After we will calculate the factors of 49557 and 49563 and find the biggest common factor number .

Step-1: Prime Factorization of 49557

Prime factors of 49557 are 3, 16519. Prime factorization of 49557 in exponential form is:

49557 = 3¹ × 16519¹

Step-2: Prime Factorization of 49563

Prime factors of 49563 are 3, 5507. Prime factorization of 49563 in exponential form is:

49563 = 3² × 5507¹

Step-3: Factors of 49557

List of positive integer factors of 49557 that divides 49557 without a remainder.

1, 3, 16519

Step-4: Factors of 49563

List of positive integer factors of 49563 that divides 49557 without a remainder.

1, 3, 9, 5507, 16521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49557 and 49563. The biggest common factor number is the GCF number.
So the greatest common factor 49557 and 49563 is 3.

Also check out the Least Common Multiple of 49557 and 49563