What is the Greatest Common Factor of 48732 and 48744?

Greatest common factor (GCF) of 48732 and 48744 is 12.

GCF(48732,48744) = 12

We will now calculate the prime factors of 48732 and 48744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48732 and 48744.

How to find the GCF of 48732 and 48744?

We will first find the prime factorization of 48732 and 48744. After we will calculate the factors of 48732 and 48744 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48744

Prime factors of 48744 are 2, 3, 677. Prime factorization of 48744 in exponential form is:

48744 = 2³ × 3² × 677¹

Step-3: Factors of 48732

List of positive integer factors of 48732 that divides 48732 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

Step-4: Factors of 48744

List of positive integer factors of 48744 that divides 48732 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 677, 1354, 2031, 2708, 4062, 5416, 6093, 8124, 12186, 16248, 24372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48732 and 48744. The biggest common factor number is the GCF number.
So the greatest common factor 48732 and 48744 is 12.

Also check out the Least Common Multiple of 48732 and 48744