What is the Greatest Common Factor of 50431 and 50440?

Greatest common factor (GCF) of 50431 and 50440 is 1.

GCF(50431,50440) = 1

We will now calculate the prime factors of 50431 and 50440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50431 and 50440.

How to find the GCF of 50431 and 50440?

We will first find the prime factorization of 50431 and 50440. After we will calculate the factors of 50431 and 50440 and find the biggest common factor number .

Step-1: Prime Factorization of 50431

Prime factors of 50431 are 29, 37, 47. Prime factorization of 50431 in exponential form is:

50431 = 29¹ × 37¹ × 47¹

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 50431

List of positive integer factors of 50431 that divides 50431 without a remainder.

1, 29, 37, 47, 1073, 1363, 1739

Step-4: Factors of 50440

List of positive integer factors of 50440 that divides 50431 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 50431 and 50440. The biggest common factor number is the GCF number.
So the greatest common factor 50431 and 50440 is 1.

Also check out the Least Common Multiple of 50431 and 50440