What is the Greatest Common Factor of 48794 and 48812?

Greatest common factor (GCF) of 48794 and 48812 is 2.

GCF(48794,48812) = 2

We will now calculate the prime factors of 48794 and 48812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48794 and 48812.

How to find the GCF of 48794 and 48812?

We will first find the prime factorization of 48794 and 48812. After we will calculate the factors of 48794 and 48812 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48812

Prime factors of 48812 are 2, 12203. Prime factorization of 48812 in exponential form is:

48812 = 2² × 12203¹

Step-3: Factors of 48794

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

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

Step-4: Factors of 48812

List of positive integer factors of 48812 that divides 48794 without a remainder.

1, 2, 4, 12203, 24406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48794 and 48812. The biggest common factor number is the GCF number.
So the greatest common factor 48794 and 48812 is 2.

Also check out the Least Common Multiple of 48794 and 48812