What is the Greatest Common Factor of 50388 and 50403?

Greatest common factor (GCF) of 50388 and 50403 is 3.

GCF(50388,50403) = 3

We will now calculate the prime factors of 50388 and 50403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50388 and 50403.

How to find the GCF of 50388 and 50403?

We will first find the prime factorization of 50388 and 50403. After we will calculate the factors of 50388 and 50403 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50403

Prime factors of 50403 are 3, 53, 317. Prime factorization of 50403 in exponential form is:

50403 = 3¹ × 53¹ × 317¹

Step-3: Factors of 50388

List of positive integer factors of 50388 that divides 50388 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

Step-4: Factors of 50403

List of positive integer factors of 50403 that divides 50388 without a remainder.

1, 3, 53, 159, 317, 951, 16801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50388 and 50403. The biggest common factor number is the GCF number.
So the greatest common factor 50388 and 50403 is 3.

Also check out the Least Common Multiple of 50388 and 50403