What is the Greatest Common Factor of 50635 and 50650?

Greatest common factor (GCF) of 50635 and 50650 is 5.

GCF(50635,50650) = 5

We will now calculate the prime factors of 50635 and 50650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50635 and 50650.

How to find the GCF of 50635 and 50650?

We will first find the prime factorization of 50635 and 50650. After we will calculate the factors of 50635 and 50650 and find the biggest common factor number .

Step-1: Prime Factorization of 50635

Prime factors of 50635 are 5, 13, 19, 41. Prime factorization of 50635 in exponential form is:

50635 = 5¹ × 13¹ × 19¹ × 41¹

Step-2: Prime Factorization of 50650

Prime factors of 50650 are 2, 5, 1013. Prime factorization of 50650 in exponential form is:

50650 = 2¹ × 5² × 1013¹

Step-3: Factors of 50635

List of positive integer factors of 50635 that divides 50635 without a remainder.

1, 5, 13, 19, 41, 65, 95, 205, 247, 533, 779, 1235, 2665, 3895, 10127

Step-4: Factors of 50650

List of positive integer factors of 50650 that divides 50635 without a remainder.

1, 2, 5, 10, 25, 50, 1013, 2026, 5065, 10130, 25325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50635 and 50650. The biggest common factor number is the GCF number.
So the greatest common factor 50635 and 50650 is 5.

Also check out the Least Common Multiple of 50635 and 50650