What is the Greatest Common Factor of 4842 and 4858?

Greatest common factor (GCF) of 4842 and 4858 is 2.

GCF(4842,4858) = 2

We will now calculate the prime factors of 4842 and 4858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4842 and 4858.

How to find the GCF of 4842 and 4858?

We will first find the prime factorization of 4842 and 4858. After we will calculate the factors of 4842 and 4858 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4858

Prime factors of 4858 are 2, 7, 347. Prime factorization of 4858 in exponential form is:

4858 = 2¹ × 7¹ × 347¹

Step-3: Factors of 4842

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

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

Step-4: Factors of 4858

List of positive integer factors of 4858 that divides 4842 without a remainder.

1, 2, 7, 14, 347, 694, 2429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4842 and 4858. The biggest common factor number is the GCF number.
So the greatest common factor 4842 and 4858 is 2.

Also check out the Least Common Multiple of 4842 and 4858