What is the Greatest Common Factor of 48338 and 48344?

Greatest common factor (GCF) of 48338 and 48344 is 2.

GCF(48338,48344) = 2

We will now calculate the prime factors of 48338 and 48344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48338 and 48344.

How to find the GCF of 48338 and 48344?

We will first find the prime factorization of 48338 and 48344. After we will calculate the factors of 48338 and 48344 and find the biggest common factor number .

Step-1: Prime Factorization of 48338

Prime factors of 48338 are 2, 24169. Prime factorization of 48338 in exponential form is:

48338 = 2¹ × 24169¹

Step-2: Prime Factorization of 48344

Prime factors of 48344 are 2, 6043. Prime factorization of 48344 in exponential form is:

48344 = 2³ × 6043¹

Step-3: Factors of 48338

List of positive integer factors of 48338 that divides 48338 without a remainder.

1, 2, 24169

Step-4: Factors of 48344

List of positive integer factors of 48344 that divides 48338 without a remainder.

1, 2, 4, 8, 6043, 12086, 24172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48338 and 48344. The biggest common factor number is the GCF number.
So the greatest common factor 48338 and 48344 is 2.

Also check out the Least Common Multiple of 48338 and 48344