What is the Greatest Common Factor of 54657 and 54669?

Greatest common factor (GCF) of 54657 and 54669 is 3.

GCF(54657,54669) = 3

We will now calculate the prime factors of 54657 and 54669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54657 and 54669.

How to find the GCF of 54657 and 54669?

We will first find the prime factorization of 54657 and 54669. After we will calculate the factors of 54657 and 54669 and find the biggest common factor number .

Step-1: Prime Factorization of 54657

Prime factors of 54657 are 3, 6073. Prime factorization of 54657 in exponential form is:

54657 = 3² × 6073¹

Step-2: Prime Factorization of 54669

Prime factors of 54669 are 3, 18223. Prime factorization of 54669 in exponential form is:

54669 = 3¹ × 18223¹

Step-3: Factors of 54657

List of positive integer factors of 54657 that divides 54657 without a remainder.

1, 3, 9, 6073, 18219

Step-4: Factors of 54669

List of positive integer factors of 54669 that divides 54657 without a remainder.

1, 3, 18223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54657 and 54669. The biggest common factor number is the GCF number.
So the greatest common factor 54657 and 54669 is 3.

Also check out the Least Common Multiple of 54657 and 54669