What is the Greatest Common Factor of 48744 and 48758?

Greatest common factor (GCF) of 48744 and 48758 is 2.

GCF(48744,48758) = 2

We will now calculate the prime factors of 48744 and 48758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48744 and 48758.

How to find the GCF of 48744 and 48758?

We will first find the prime factorization of 48744 and 48758. After we will calculate the factors of 48744 and 48758 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 48758

Prime factors of 48758 are 2, 24379. Prime factorization of 48758 in exponential form is:

48758 = 2¹ × 24379¹

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 48758

List of positive integer factors of 48758 that divides 48744 without a remainder.

1, 2, 24379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48744 and 48758. The biggest common factor number is the GCF number.
So the greatest common factor 48744 and 48758 is 2.

Also check out the Least Common Multiple of 48744 and 48758