What is the Greatest Common Factor of 48782 and 48796?

Greatest common factor (GCF) of 48782 and 48796 is 2.

GCF(48782,48796) = 2

We will now calculate the prime factors of 48782 and 48796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48782 and 48796.

How to find the GCF of 48782 and 48796?

We will first find the prime factorization of 48782 and 48796. After we will calculate the factors of 48782 and 48796 and find the biggest common factor number .

Step-1: Prime Factorization of 48782

Prime factors of 48782 are 2, 24391. Prime factorization of 48782 in exponential form is:

48782 = 2¹ × 24391¹

Step-2: Prime Factorization of 48796

Prime factors of 48796 are 2, 11, 1109. Prime factorization of 48796 in exponential form is:

48796 = 2² × 11¹ × 1109¹

Step-3: Factors of 48782

List of positive integer factors of 48782 that divides 48782 without a remainder.

1, 2, 24391

Step-4: Factors of 48796

List of positive integer factors of 48796 that divides 48782 without a remainder.

1, 2, 4, 11, 22, 44, 1109, 2218, 4436, 12199, 24398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48782 and 48796. The biggest common factor number is the GCF number.
So the greatest common factor 48782 and 48796 is 2.

Also check out the Least Common Multiple of 48782 and 48796