What is the Greatest Common Factor of 4838 and 4842?

Greatest common factor (GCF) of 4838 and 4842 is 2.

GCF(4838,4842) = 2

We will now calculate the prime factors of 4838 and 4842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4838 and 4842.

How to find the GCF of 4838 and 4842?

We will first find the prime factorization of 4838 and 4842. After we will calculate the factors of 4838 and 4842 and find the biggest common factor number .

Step-1: Prime Factorization of 4838

Prime factors of 4838 are 2, 41, 59. Prime factorization of 4838 in exponential form is:

4838 = 2¹ × 41¹ × 59¹

Step-2: Prime Factorization of 4842

Prime factors of 4842 are 2, 3, 269. Prime factorization of 4842 in exponential form is:

4842 = 2¹ × 3² × 269¹

Step-3: Factors of 4838

List of positive integer factors of 4838 that divides 4838 without a remainder.

1, 2, 41, 59, 82, 118, 2419

Step-4: Factors of 4842

List of positive integer factors of 4842 that divides 4838 without a remainder.

1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4838 and 4842. The biggest common factor number is the GCF number.
So the greatest common factor 4838 and 4842 is 2.

Also check out the Least Common Multiple of 4838 and 4842