What is the Greatest Common Factor of 52374 and 52388?

Greatest common factor (GCF) of 52374 and 52388 is 14.

GCF(52374,52388) = 14

We will now calculate the prime factors of 52374 and 52388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52374 and 52388.

How to find the GCF of 52374 and 52388?

We will first find the prime factorization of 52374 and 52388. After we will calculate the factors of 52374 and 52388 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 52388

Prime factors of 52388 are 2, 7, 1871. Prime factorization of 52388 in exponential form is:

52388 = 2² × 7¹ × 1871¹

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 52388

List of positive integer factors of 52388 that divides 52374 without a remainder.

1, 2, 4, 7, 14, 28, 1871, 3742, 7484, 13097, 26194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52374 and 52388. The biggest common factor number is the GCF number.
So the greatest common factor 52374 and 52388 is 14.

Also check out the Least Common Multiple of 52374 and 52388