What is the Greatest Common Factor of 50388 and 50406?

Greatest common factor (GCF) of 50388 and 50406 is 6.

GCF(50388,50406) = 6

We will now calculate the prime factors of 50388 and 50406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50388 and 50406.

How to find the GCF of 50388 and 50406?

We will first find the prime factorization of 50388 and 50406. After we will calculate the factors of 50388 and 50406 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 50406

Prime factors of 50406 are 2, 3, 31, 271. Prime factorization of 50406 in exponential form is:

50406 = 2¹ × 3¹ × 31¹ × 271¹

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 50406

List of positive integer factors of 50406 that divides 50388 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 271, 542, 813, 1626, 8401, 16802, 25203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50388 and 50406. The biggest common factor number is the GCF number.
So the greatest common factor 50388 and 50406 is 6.

Also check out the Least Common Multiple of 50388 and 50406