What is the Greatest Common Factor of 50432 and 50440?

Greatest common factor (GCF) of 50432 and 50440 is 8.

GCF(50432,50440) = 8

We will now calculate the prime factors of 50432 and 50440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50432 and 50440.

How to find the GCF of 50432 and 50440?

We will first find the prime factorization of 50432 and 50440. After we will calculate the factors of 50432 and 50440 and find the biggest common factor number .

Step-1: Prime Factorization of 50432

Prime factors of 50432 are 2, 197. Prime factorization of 50432 in exponential form is:

50432 = 2⁸ × 197¹

Step-2: Prime Factorization of 50440

Prime factors of 50440 are 2, 5, 13, 97. Prime factorization of 50440 in exponential form is:

50440 = 2³ × 5¹ × 13¹ × 97¹

Step-3: Factors of 50432

List of positive integer factors of 50432 that divides 50432 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 197, 256, 394, 788, 1576, 3152, 6304, 12608, 25216

Step-4: Factors of 50440

List of positive integer factors of 50440 that divides 50432 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 97, 104, 130, 194, 260, 388, 485, 520, 776, 970, 1261, 1940, 2522, 3880, 5044, 6305, 10088, 12610, 25220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50432 and 50440. The biggest common factor number is the GCF number.
So the greatest common factor 50432 and 50440 is 8.

Also check out the Least Common Multiple of 50432 and 50440