What is the Greatest Common Factor of 50368 and 50388?

Greatest common factor (GCF) of 50368 and 50388 is 4.

GCF(50368,50388) = 4

We will now calculate the prime factors of 50368 and 50388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50368 and 50388.

How to find the GCF of 50368 and 50388?

We will first find the prime factorization of 50368 and 50388. After we will calculate the factors of 50368 and 50388 and find the biggest common factor number .

Step-1: Prime Factorization of 50368

Prime factors of 50368 are 2, 787. Prime factorization of 50368 in exponential form is:

50368 = 2⁶ × 787¹

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 50368

List of positive integer factors of 50368 that divides 50368 without a remainder.

1, 2, 4, 8, 16, 32, 64, 787, 1574, 3148, 6296, 12592, 25184

Step-4: Factors of 50388

List of positive integer factors of 50388 that divides 50368 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 50368 and 50388. The biggest common factor number is the GCF number.
So the greatest common factor 50368 and 50388 is 4.

Also check out the Least Common Multiple of 50368 and 50388