What is the Greatest Common Factor of 52359 and 52374?

Greatest common factor (GCF) of 52359 and 52374 is 3.

GCF(52359,52374) = 3

We will now calculate the prime factors of 52359 and 52374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52359 and 52374.

How to find the GCF of 52359 and 52374?

We will first find the prime factorization of 52359 and 52374. After we will calculate the factors of 52359 and 52374 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52374

Prime factors of 52374 are 2, 3, 7, 29, 43. Prime factorization of 52374 in exponential form is:

52374 = 2¹ × 3¹ × 7¹ × 29¹ × 43¹

Step-3: Factors of 52359

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

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

Step-4: Factors of 52374

List of positive integer factors of 52374 that divides 52359 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 43, 58, 86, 87, 129, 174, 203, 258, 301, 406, 602, 609, 903, 1218, 1247, 1806, 2494, 3741, 7482, 8729, 17458, 26187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52359 and 52374. The biggest common factor number is the GCF number.
So the greatest common factor 52359 and 52374 is 3.

Also check out the Least Common Multiple of 52359 and 52374