What is the Greatest Common Factor of 54738 and 54753?

Greatest common factor (GCF) of 54738 and 54753 is 3.

GCF(54738,54753) = 3

We will now calculate the prime factors of 54738 and 54753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54738 and 54753.

How to find the GCF of 54738 and 54753?

We will first find the prime factorization of 54738 and 54753. After we will calculate the factors of 54738 and 54753 and find the biggest common factor number .

Step-1: Prime Factorization of 54738

Prime factors of 54738 are 2, 3, 3041. Prime factorization of 54738 in exponential form is:

54738 = 2¹ × 3² × 3041¹

Step-2: Prime Factorization of 54753

Prime factors of 54753 are 3, 18251. Prime factorization of 54753 in exponential form is:

54753 = 3¹ × 18251¹

Step-3: Factors of 54738

List of positive integer factors of 54738 that divides 54738 without a remainder.

1, 2, 3, 6, 9, 18, 3041, 6082, 9123, 18246, 27369

Step-4: Factors of 54753

List of positive integer factors of 54753 that divides 54738 without a remainder.

1, 3, 18251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54738 and 54753. The biggest common factor number is the GCF number.
So the greatest common factor 54738 and 54753 is 3.

Also check out the Least Common Multiple of 54738 and 54753