What is the Greatest Common Factor of 50500 and 50504?

Greatest common factor (GCF) of 50500 and 50504 is 4.

GCF(50500,50504) = 4

We will now calculate the prime factors of 50500 and 50504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50500 and 50504.

How to find the GCF of 50500 and 50504?

We will first find the prime factorization of 50500 and 50504. After we will calculate the factors of 50500 and 50504 and find the biggest common factor number .

Step-1: Prime Factorization of 50500

Prime factors of 50500 are 2, 5, 101. Prime factorization of 50500 in exponential form is:

50500 = 2² × 5³ × 101¹

Step-2: Prime Factorization of 50504

Prime factors of 50504 are 2, 59, 107. Prime factorization of 50504 in exponential form is:

50504 = 2³ × 59¹ × 107¹

Step-3: Factors of 50500

List of positive integer factors of 50500 that divides 50500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 101, 125, 202, 250, 404, 500, 505, 1010, 2020, 2525, 5050, 10100, 12625, 25250

Step-4: Factors of 50504

List of positive integer factors of 50504 that divides 50500 without a remainder.

1, 2, 4, 8, 59, 107, 118, 214, 236, 428, 472, 856, 6313, 12626, 25252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50500 and 50504. The biggest common factor number is the GCF number.
So the greatest common factor 50500 and 50504 is 4.

Also check out the Least Common Multiple of 50500 and 50504