What is the Greatest Common Factor of 48744 and 48762?

Greatest common factor (GCF) of 48744 and 48762 is 18.

GCF(48744,48762) = 18

We will now calculate the prime factors of 48744 and 48762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48744 and 48762.

How to find the GCF of 48744 and 48762?

We will first find the prime factorization of 48744 and 48762. After we will calculate the factors of 48744 and 48762 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 48762

Prime factors of 48762 are 2, 3, 7, 43. Prime factorization of 48762 in exponential form is:

48762 = 2¹ × 3⁴ × 7¹ × 43¹

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 48762

List of positive integer factors of 48762 that divides 48744 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 43, 54, 63, 81, 86, 126, 129, 162, 189, 258, 301, 378, 387, 567, 602, 774, 903, 1134, 1161, 1806, 2322, 2709, 3483, 5418, 6966, 8127, 16254, 24381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48744 and 48762. The biggest common factor number is the GCF number.
So the greatest common factor 48744 and 48762 is 18.

Also check out the Least Common Multiple of 48744 and 48762