What is the Greatest Common Factor of 48744 and 48752?

Greatest common factor (GCF) of 48744 and 48752 is 8.

GCF(48744,48752) = 8

We will now calculate the prime factors of 48744 and 48752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48744 and 48752.

How to find the GCF of 48744 and 48752?

We will first find the prime factorization of 48744 and 48752. After we will calculate the factors of 48744 and 48752 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48752

Prime factors of 48752 are 2, 11, 277. Prime factorization of 48752 in exponential form is:

48752 = 2⁴ × 11¹ × 277¹

Step-3: Factors of 48744

List of positive integer factors of 48744 that divides 48744 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

Step-4: Factors of 48752

List of positive integer factors of 48752 that divides 48744 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 277, 554, 1108, 2216, 3047, 4432, 6094, 12188, 24376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48744 and 48752. The biggest common factor number is the GCF number.
So the greatest common factor 48744 and 48752 is 8.

Also check out the Least Common Multiple of 48744 and 48752