What is the Greatest Common Factor of 50425 and 50440?

Greatest common factor (GCF) of 50425 and 50440 is 5.

GCF(50425,50440) = 5

We will now calculate the prime factors of 50425 and 50440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50425 and 50440.

How to find the GCF of 50425 and 50440?

We will first find the prime factorization of 50425 and 50440. After we will calculate the factors of 50425 and 50440 and find the biggest common factor number .

Step-1: Prime Factorization of 50425

Prime factors of 50425 are 5, 2017. Prime factorization of 50425 in exponential form is:

50425 = 5² × 2017¹

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 50425

List of positive integer factors of 50425 that divides 50425 without a remainder.

1, 5, 25, 2017, 10085

Step-4: Factors of 50440

List of positive integer factors of 50440 that divides 50425 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 50425 and 50440. The biggest common factor number is the GCF number.
So the greatest common factor 50425 and 50440 is 5.

Also check out the Least Common Multiple of 50425 and 50440