What is the Greatest Common Factor of 52353 and 52359?

Greatest common factor (GCF) of 52353 and 52359 is 3.

GCF(52353,52359) = 3

We will now calculate the prime factors of 52353 and 52359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52353 and 52359.

How to find the GCF of 52353 and 52359?

We will first find the prime factorization of 52353 and 52359. After we will calculate the factors of 52353 and 52359 and find the biggest common factor number .

Step-1: Prime Factorization of 52353

Prime factors of 52353 are 3, 7, 277. Prime factorization of 52353 in exponential form is:

52353 = 3³ × 7¹ × 277¹

Step-2: Prime Factorization of 52359

Prime factors of 52359 are 3, 31, 563. Prime factorization of 52359 in exponential form is:

52359 = 3¹ × 31¹ × 563¹

Step-3: Factors of 52353

List of positive integer factors of 52353 that divides 52353 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 277, 831, 1939, 2493, 5817, 7479, 17451

Step-4: Factors of 52359

List of positive integer factors of 52359 that divides 52353 without a remainder.

1, 3, 31, 93, 563, 1689, 17453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52353 and 52359. The biggest common factor number is the GCF number.
So the greatest common factor 52353 and 52359 is 3.

Also check out the Least Common Multiple of 52353 and 52359