What is the Greatest Common Factor of 20050 and 20065?

Greatest common factor (GCF) of 20050 and 20065 is 5.

GCF(20050,20065) = 5

We will now calculate the prime factors of 20050 and 20065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20050 and 20065.

How to find the GCF of 20050 and 20065?

We will first find the prime factorization of 20050 and 20065. After we will calculate the factors of 20050 and 20065 and find the biggest common factor number .

Step-1: Prime Factorization of 20050

Prime factors of 20050 are 2, 5, 401. Prime factorization of 20050 in exponential form is:

20050 = 2¹ × 5² × 401¹

Step-2: Prime Factorization of 20065

Prime factors of 20065 are 5, 4013. Prime factorization of 20065 in exponential form is:

20065 = 5¹ × 4013¹

Step-3: Factors of 20050

List of positive integer factors of 20050 that divides 20050 without a remainder.

1, 2, 5, 10, 25, 50, 401, 802, 2005, 4010, 10025

Step-4: Factors of 20065

List of positive integer factors of 20065 that divides 20050 without a remainder.

1, 5, 4013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20050 and 20065. The biggest common factor number is the GCF number.
So the greatest common factor 20050 and 20065 is 5.

Also check out the Least Common Multiple of 20050 and 20065