What is the Greatest Common Factor of 48782 and 48794?

Greatest common factor (GCF) of 48782 and 48794 is 2.

GCF(48782,48794) = 2

We will now calculate the prime factors of 48782 and 48794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48782 and 48794.

How to find the GCF of 48782 and 48794?

We will first find the prime factorization of 48782 and 48794. After we will calculate the factors of 48782 and 48794 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 48794

Prime factors of 48794 are 2, 31, 787. Prime factorization of 48794 in exponential form is:

48794 = 2¹ × 31¹ × 787¹

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 48794

List of positive integer factors of 48794 that divides 48782 without a remainder.

1, 2, 31, 62, 787, 1574, 24397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48782 and 48794. The biggest common factor number is the GCF number.
So the greatest common factor 48782 and 48794 is 2.

Also check out the Least Common Multiple of 48782 and 48794