What is the Greatest Common Factor of 50388 and 50408?

Greatest common factor (GCF) of 50388 and 50408 is 4.

GCF(50388,50408) = 4

We will now calculate the prime factors of 50388 and 50408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50388 and 50408.

How to find the GCF of 50388 and 50408?

We will first find the prime factorization of 50388 and 50408. After we will calculate the factors of 50388 and 50408 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 50408

Prime factors of 50408 are 2, 6301. Prime factorization of 50408 in exponential form is:

50408 = 2³ × 6301¹

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 50408

List of positive integer factors of 50408 that divides 50388 without a remainder.

1, 2, 4, 8, 6301, 12602, 25204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50388 and 50408. The biggest common factor number is the GCF number.
So the greatest common factor 50388 and 50408 is 4.

Also check out the Least Common Multiple of 50388 and 50408