What is the Greatest Common Factor of 50388 and 50407?

Greatest common factor (GCF) of 50388 and 50407 is 19.

GCF(50388,50407) = 19

We will now calculate the prime factors of 50388 and 50407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50388 and 50407.

How to find the GCF of 50388 and 50407?

We will first find the prime factorization of 50388 and 50407. After we will calculate the factors of 50388 and 50407 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 50407

Prime factors of 50407 are 7, 19, 379. Prime factorization of 50407 in exponential form is:

50407 = 7¹ × 19¹ × 379¹

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 50407

List of positive integer factors of 50407 that divides 50388 without a remainder.

1, 7, 19, 133, 379, 2653, 7201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50388 and 50407. The biggest common factor number is the GCF number.
So the greatest common factor 50388 and 50407 is 19.

Also check out the Least Common Multiple of 50388 and 50407