What is the Greatest Common Factor of 48618 and 48627?

Greatest common factor (GCF) of 48618 and 48627 is 9.

GCF(48618,48627) = 9

We will now calculate the prime factors of 48618 and 48627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48618 and 48627.

How to find the GCF of 48618 and 48627?

We will first find the prime factorization of 48618 and 48627. After we will calculate the factors of 48618 and 48627 and find the biggest common factor number .

Step-1: Prime Factorization of 48618

Prime factors of 48618 are 2, 3, 37, 73. Prime factorization of 48618 in exponential form is:

48618 = 2¹ × 3² × 37¹ × 73¹

Step-2: Prime Factorization of 48627

Prime factors of 48627 are 3, 1801. Prime factorization of 48627 in exponential form is:

48627 = 3³ × 1801¹

Step-3: Factors of 48618

List of positive integer factors of 48618 that divides 48618 without a remainder.

1, 2, 3, 6, 9, 18, 37, 73, 74, 111, 146, 219, 222, 333, 438, 657, 666, 1314, 2701, 5402, 8103, 16206, 24309

Step-4: Factors of 48627

List of positive integer factors of 48627 that divides 48618 without a remainder.

1, 3, 9, 27, 1801, 5403, 16209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48618 and 48627. The biggest common factor number is the GCF number.
So the greatest common factor 48618 and 48627 is 9.

Also check out the Least Common Multiple of 48618 and 48627