What is the Greatest Common Factor of 52374 and 52385?

Greatest common factor (GCF) of 52374 and 52385 is 1.

GCF(52374,52385) = 1

We will now calculate the prime factors of 52374 and 52385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52374 and 52385.

How to find the GCF of 52374 and 52385?

We will first find the prime factorization of 52374 and 52385. After we will calculate the factors of 52374 and 52385 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52385

Prime factors of 52385 are 5, 10477. Prime factorization of 52385 in exponential form is:

52385 = 5¹ × 10477¹

Step-3: Factors of 52374

List of positive integer factors of 52374 that divides 52374 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

Step-4: Factors of 52385

List of positive integer factors of 52385 that divides 52374 without a remainder.

1, 5, 10477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52374 and 52385. The biggest common factor number is the GCF number.
So the greatest common factor 52374 and 52385 is 1.

Also check out the Least Common Multiple of 52374 and 52385