What is the Greatest Common Factor of 50500 and 50514?

Greatest common factor (GCF) of 50500 and 50514 is 2.

GCF(50500,50514) = 2

We will now calculate the prime factors of 50500 and 50514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50500 and 50514.

How to find the GCF of 50500 and 50514?

We will first find the prime factorization of 50500 and 50514. After we will calculate the factors of 50500 and 50514 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 50514

Prime factors of 50514 are 2, 3, 8419. Prime factorization of 50514 in exponential form is:

50514 = 2¹ × 3¹ × 8419¹

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 50514

List of positive integer factors of 50514 that divides 50500 without a remainder.

1, 2, 3, 6, 8419, 16838, 25257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50500 and 50514. The biggest common factor number is the GCF number.
So the greatest common factor 50500 and 50514 is 2.

Also check out the Least Common Multiple of 50500 and 50514