What is the Greatest Common Factor of 54618 and 54632?

Greatest common factor (GCF) of 54618 and 54632 is 2.

GCF(54618,54632) = 2

We will now calculate the prime factors of 54618 and 54632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54618 and 54632.

How to find the GCF of 54618 and 54632?

We will first find the prime factorization of 54618 and 54632. After we will calculate the factors of 54618 and 54632 and find the biggest common factor number .

Step-1: Prime Factorization of 54618

Prime factors of 54618 are 2, 3, 9103. Prime factorization of 54618 in exponential form is:

54618 = 2¹ × 3¹ × 9103¹

Step-2: Prime Factorization of 54632

Prime factors of 54632 are 2, 6829. Prime factorization of 54632 in exponential form is:

54632 = 2³ × 6829¹

Step-3: Factors of 54618

List of positive integer factors of 54618 that divides 54618 without a remainder.

1, 2, 3, 6, 9103, 18206, 27309

Step-4: Factors of 54632

List of positive integer factors of 54632 that divides 54618 without a remainder.

1, 2, 4, 8, 6829, 13658, 27316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54618 and 54632. The biggest common factor number is the GCF number.
So the greatest common factor 54618 and 54632 is 2.

Also check out the Least Common Multiple of 54618 and 54632