What is the Greatest Common Factor of 48723 and 48732?

Greatest common factor (GCF) of 48723 and 48732 is 3.

GCF(48723,48732) = 3

We will now calculate the prime factors of 48723 and 48732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48723 and 48732.

How to find the GCF of 48723 and 48732?

We will first find the prime factorization of 48723 and 48732. After we will calculate the factors of 48723 and 48732 and find the biggest common factor number .

Step-1: Prime Factorization of 48723

Prime factors of 48723 are 3, 109, 149. Prime factorization of 48723 in exponential form is:

48723 = 3¹ × 109¹ × 149¹

Step-2: Prime Factorization of 48732

Prime factors of 48732 are 2, 3, 31, 131. Prime factorization of 48732 in exponential form is:

48732 = 2² × 3¹ × 31¹ × 131¹

Step-3: Factors of 48723

List of positive integer factors of 48723 that divides 48723 without a remainder.

1, 3, 109, 149, 327, 447, 16241

Step-4: Factors of 48732

List of positive integer factors of 48732 that divides 48723 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 131, 186, 262, 372, 393, 524, 786, 1572, 4061, 8122, 12183, 16244, 24366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48723 and 48732. The biggest common factor number is the GCF number.
So the greatest common factor 48723 and 48732 is 3.

Also check out the Least Common Multiple of 48723 and 48732