What is the Greatest Common Factor of 20450 and 20456?

Greatest common factor (GCF) of 20450 and 20456 is 2.

GCF(20450,20456) = 2

We will now calculate the prime factors of 20450 and 20456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20450 and 20456.

How to find the GCF of 20450 and 20456?

We will first find the prime factorization of 20450 and 20456. After we will calculate the factors of 20450 and 20456 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 20456

Prime factors of 20456 are 2, 2557. Prime factorization of 20456 in exponential form is:

20456 = 2³ × 2557¹

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 20456

List of positive integer factors of 20456 that divides 20450 without a remainder.

1, 2, 4, 8, 2557, 5114, 10228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20450 and 20456. The biggest common factor number is the GCF number.
So the greatest common factor 20450 and 20456 is 2.

Also check out the Least Common Multiple of 20450 and 20456