What is the Greatest Common Factor of 4832 and 4838?

Greatest common factor (GCF) of 4832 and 4838 is 2.

GCF(4832,4838) = 2

We will now calculate the prime factors of 4832 and 4838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4832 and 4838.

How to find the GCF of 4832 and 4838?

We will first find the prime factorization of 4832 and 4838. After we will calculate the factors of 4832 and 4838 and find the biggest common factor number .

Step-1: Prime Factorization of 4832

Prime factors of 4832 are 2, 151. Prime factorization of 4832 in exponential form is:

4832 = 2⁵ × 151¹

Step-2: 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-3: Factors of 4832

List of positive integer factors of 4832 that divides 4832 without a remainder.

1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416

Step-4: Factors of 4838

List of positive integer factors of 4838 that divides 4832 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4832 and 4838. The biggest common factor number is the GCF number.
So the greatest common factor 4832 and 4838 is 2.

Also check out the Least Common Multiple of 4832 and 4838