What is the Greatest Common Factor of 50495 and 50500?

Greatest common factor (GCF) of 50495 and 50500 is 5.

GCF(50495,50500) = 5

We will now calculate the prime factors of 50495 and 50500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50495 and 50500.

How to find the GCF of 50495 and 50500?

We will first find the prime factorization of 50495 and 50500. After we will calculate the factors of 50495 and 50500 and find the biggest common factor number .

Step-1: Prime Factorization of 50495

Prime factors of 50495 are 5, 10099. Prime factorization of 50495 in exponential form is:

50495 = 5¹ × 10099¹

Step-2: 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-3: Factors of 50495

List of positive integer factors of 50495 that divides 50495 without a remainder.

1, 5, 10099

Step-4: Factors of 50500

List of positive integer factors of 50500 that divides 50495 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50495 and 50500. The biggest common factor number is the GCF number.
So the greatest common factor 50495 and 50500 is 5.

Also check out the Least Common Multiple of 50495 and 50500