What is the Greatest Common Factor of 52328 and 52341?

Greatest common factor (GCF) of 52328 and 52341 is 1.

GCF(52328,52341) = 1

We will now calculate the prime factors of 52328 and 52341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52328 and 52341.

How to find the GCF of 52328 and 52341?

We will first find the prime factorization of 52328 and 52341. After we will calculate the factors of 52328 and 52341 and find the biggest common factor number .

Step-1: Prime Factorization of 52328

Prime factors of 52328 are 2, 31, 211. Prime factorization of 52328 in exponential form is:

52328 = 2³ × 31¹ × 211¹

Step-2: Prime Factorization of 52341

Prime factors of 52341 are 3, 73, 239. Prime factorization of 52341 in exponential form is:

52341 = 3¹ × 73¹ × 239¹

Step-3: Factors of 52328

List of positive integer factors of 52328 that divides 52328 without a remainder.

1, 2, 4, 8, 31, 62, 124, 211, 248, 422, 844, 1688, 6541, 13082, 26164

Step-4: Factors of 52341

List of positive integer factors of 52341 that divides 52328 without a remainder.

1, 3, 73, 219, 239, 717, 17447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52328 and 52341. The biggest common factor number is the GCF number.
So the greatest common factor 52328 and 52341 is 1.

Also check out the Least Common Multiple of 52328 and 52341