What is the Greatest Common Factor of 50104 and 50110?

Greatest common factor (GCF) of 50104 and 50110 is 2.

GCF(50104,50110) = 2

We will now calculate the prime factors of 50104 and 50110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50104 and 50110.

How to find the GCF of 50104 and 50110?

We will first find the prime factorization of 50104 and 50110. After we will calculate the factors of 50104 and 50110 and find the biggest common factor number .

Step-1: Prime Factorization of 50104

Prime factors of 50104 are 2, 6263. Prime factorization of 50104 in exponential form is:

50104 = 2³ × 6263¹

Step-2: Prime Factorization of 50110

Prime factors of 50110 are 2, 5, 5011. Prime factorization of 50110 in exponential form is:

50110 = 2¹ × 5¹ × 5011¹

Step-3: Factors of 50104

List of positive integer factors of 50104 that divides 50104 without a remainder.

1, 2, 4, 8, 6263, 12526, 25052

Step-4: Factors of 50110

List of positive integer factors of 50110 that divides 50104 without a remainder.

1, 2, 5, 10, 5011, 10022, 25055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50104 and 50110. The biggest common factor number is the GCF number.
So the greatest common factor 50104 and 50110 is 2.

Also check out the Least Common Multiple of 50104 and 50110