What is the Greatest Common Factor of 20275 and 20285?

Greatest common factor (GCF) of 20275 and 20285 is 5.

GCF(20275,20285) = 5

We will now calculate the prime factors of 20275 and 20285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20275 and 20285.

How to find the GCF of 20275 and 20285?

We will first find the prime factorization of 20275 and 20285. After we will calculate the factors of 20275 and 20285 and find the biggest common factor number .

Step-1: Prime Factorization of 20275

Prime factors of 20275 are 5, 811. Prime factorization of 20275 in exponential form is:

20275 = 5² × 811¹

Step-2: Prime Factorization of 20285

Prime factors of 20285 are 5, 4057. Prime factorization of 20285 in exponential form is:

20285 = 5¹ × 4057¹

Step-3: Factors of 20275

List of positive integer factors of 20275 that divides 20275 without a remainder.

1, 5, 25, 811, 4055

Step-4: Factors of 20285

List of positive integer factors of 20285 that divides 20275 without a remainder.

1, 5, 4057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20275 and 20285. The biggest common factor number is the GCF number.
So the greatest common factor 20275 and 20285 is 5.

Also check out the Least Common Multiple of 20275 and 20285