What is the Greatest Common Factor of 52819 and 52832?

Greatest common factor (GCF) of 52819 and 52832 is 13.

GCF(52819,52832) = 13

We will now calculate the prime factors of 52819 and 52832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52819 and 52832.

How to find the GCF of 52819 and 52832?

We will first find the prime factorization of 52819 and 52832. After we will calculate the factors of 52819 and 52832 and find the biggest common factor number .

Step-1: Prime Factorization of 52819

Prime factors of 52819 are 13, 17, 239. Prime factorization of 52819 in exponential form is:

52819 = 13¹ × 17¹ × 239¹

Step-2: Prime Factorization of 52832

Prime factors of 52832 are 2, 13, 127. Prime factorization of 52832 in exponential form is:

52832 = 2⁵ × 13¹ × 127¹

Step-3: Factors of 52819

List of positive integer factors of 52819 that divides 52819 without a remainder.

1, 13, 17, 221, 239, 3107, 4063

Step-4: Factors of 52832

List of positive integer factors of 52832 that divides 52819 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 127, 208, 254, 416, 508, 1016, 1651, 2032, 3302, 4064, 6604, 13208, 26416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52819 and 52832. The biggest common factor number is the GCF number.
So the greatest common factor 52819 and 52832 is 13.

Also check out the Least Common Multiple of 52819 and 52832