What is the Greatest Common Factor of 50369 and 50388?

Greatest common factor (GCF) of 50369 and 50388 is 19.

GCF(50369,50388) = 19

We will now calculate the prime factors of 50369 and 50388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50369 and 50388.

How to find the GCF of 50369 and 50388?

We will first find the prime factorization of 50369 and 50388. After we will calculate the factors of 50369 and 50388 and find the biggest common factor number .

Step-1: Prime Factorization of 50369

Prime factors of 50369 are 11, 19, 241. Prime factorization of 50369 in exponential form is:

50369 = 11¹ × 19¹ × 241¹

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 50369

List of positive integer factors of 50369 that divides 50369 without a remainder.

1, 11, 19, 209, 241, 2651, 4579

Step-4: Factors of 50388

List of positive integer factors of 50388 that divides 50369 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 50369 and 50388. The biggest common factor number is the GCF number.
So the greatest common factor 50369 and 50388 is 19.

Also check out the Least Common Multiple of 50369 and 50388