What is the Greatest Common Factor of 50372 and 50388?

Greatest common factor (GCF) of 50372 and 50388 is 4.

GCF(50372,50388) = 4

We will now calculate the prime factors of 50372 and 50388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50372 and 50388.

How to find the GCF of 50372 and 50388?

We will first find the prime factorization of 50372 and 50388. After we will calculate the factors of 50372 and 50388 and find the biggest common factor number .

Step-1: Prime Factorization of 50372

Prime factors of 50372 are 2, 7, 257. Prime factorization of 50372 in exponential form is:

50372 = 2² × 7² × 257¹

Step-2: Prime Factorization of 50388

Prime factors of 50388 are 2, 3, 13, 17, 19. Prime factorization of 50388 in exponential form is:

50388 = 2² × 3¹ × 13¹ × 17¹ × 19¹

Step-3: Factors of 50372

List of positive integer factors of 50372 that divides 50372 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 257, 514, 1028, 1799, 3598, 7196, 12593, 25186

Step-4: Factors of 50388

List of positive integer factors of 50388 that divides 50372 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 19, 26, 34, 38, 39, 51, 52, 57, 68, 76, 78, 102, 114, 156, 204, 221, 228, 247, 323, 442, 494, 646, 663, 741, 884, 969, 988, 1292, 1326, 1482, 1938, 2652, 2964, 3876, 4199, 8398, 12597, 16796, 25194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50372 and 50388. The biggest common factor number is the GCF number.
So the greatest common factor 50372 and 50388 is 4.

Also check out the Least Common Multiple of 50372 and 50388