What is the Greatest Common Factor of 4838 and 4852?

Greatest common factor (GCF) of 4838 and 4852 is 2.

GCF(4838,4852) = 2

We will now calculate the prime factors of 4838 and 4852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4838 and 4852.

How to find the GCF of 4838 and 4852?

We will first find the prime factorization of 4838 and 4852. After we will calculate the factors of 4838 and 4852 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 4852

Prime factors of 4852 are 2, 1213. Prime factorization of 4852 in exponential form is:

4852 = 2² × 1213¹

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 4852

List of positive integer factors of 4852 that divides 4838 without a remainder.

1, 2, 4, 1213, 2426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4838 and 4852. The biggest common factor number is the GCF number.
So the greatest common factor 4838 and 4852 is 2.

Also check out the Least Common Multiple of 4838 and 4852