What is the Greatest Common Factor of 4819 and 4832?

Greatest common factor (GCF) of 4819 and 4832 is 1.

GCF(4819,4832) = 1

We will now calculate the prime factors of 4819 and 4832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4819 and 4832.

How to find the GCF of 4819 and 4832?

We will first find the prime factorization of 4819 and 4832. After we will calculate the factors of 4819 and 4832 and find the biggest common factor number .

Step-1: Prime Factorization of 4819

Prime factors of 4819 are 61, 79. Prime factorization of 4819 in exponential form is:

4819 = 61¹ × 79¹

Step-2: Prime Factorization of 4832

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

4832 = 2⁵ × 151¹

Step-3: Factors of 4819

List of positive integer factors of 4819 that divides 4819 without a remainder.

1, 61, 79

Step-4: Factors of 4832

List of positive integer factors of 4832 that divides 4819 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4819 and 4832. The biggest common factor number is the GCF number.
So the greatest common factor 4819 and 4832 is 1.

Also check out the Least Common Multiple of 4819 and 4832