What is the Greatest Common Factor of 20450 and 20455?

Greatest common factor (GCF) of 20450 and 20455 is 5.

GCF(20450,20455) = 5

We will now calculate the prime factors of 20450 and 20455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20450 and 20455.

How to find the GCF of 20450 and 20455?

We will first find the prime factorization of 20450 and 20455. After we will calculate the factors of 20450 and 20455 and find the biggest common factor number .

Step-1: Prime Factorization of 20450

Prime factors of 20450 are 2, 5, 409. Prime factorization of 20450 in exponential form is:

20450 = 2¹ × 5² × 409¹

Step-2: Prime Factorization of 20455

Prime factors of 20455 are 5, 4091. Prime factorization of 20455 in exponential form is:

20455 = 5¹ × 4091¹

Step-3: Factors of 20450

List of positive integer factors of 20450 that divides 20450 without a remainder.

1, 2, 5, 10, 25, 50, 409, 818, 2045, 4090, 10225

Step-4: Factors of 20455

List of positive integer factors of 20455 that divides 20450 without a remainder.

1, 5, 4091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20450 and 20455. The biggest common factor number is the GCF number.
So the greatest common factor 20450 and 20455 is 5.

Also check out the Least Common Multiple of 20450 and 20455