What is the Greatest Common Factor of 48741 and 48753?

Greatest common factor (GCF) of 48741 and 48753 is 3.

GCF(48741,48753) = 3

We will now calculate the prime factors of 48741 and 48753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48741 and 48753.

How to find the GCF of 48741 and 48753?

We will first find the prime factorization of 48741 and 48753. After we will calculate the factors of 48741 and 48753 and find the biggest common factor number .

Step-1: Prime Factorization of 48741

Prime factors of 48741 are 3, 7, 11, 211. Prime factorization of 48741 in exponential form is:

48741 = 3¹ × 7¹ × 11¹ × 211¹

Step-2: Prime Factorization of 48753

Prime factors of 48753 are 3, 5417. Prime factorization of 48753 in exponential form is:

48753 = 3² × 5417¹

Step-3: Factors of 48741

List of positive integer factors of 48741 that divides 48741 without a remainder.

1, 3, 7, 11, 21, 33, 77, 211, 231, 633, 1477, 2321, 4431, 6963, 16247

Step-4: Factors of 48753

List of positive integer factors of 48753 that divides 48741 without a remainder.

1, 3, 9, 5417, 16251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48741 and 48753. The biggest common factor number is the GCF number.
So the greatest common factor 48741 and 48753 is 3.

Also check out the Least Common Multiple of 48741 and 48753