What is the Greatest Common Factor of 28225 and 28240?

Greatest common factor (GCF) of 28225 and 28240 is 5.

GCF(28225,28240) = 5

We will now calculate the prime factors of 28225 and 28240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28225 and 28240.

How to find the GCF of 28225 and 28240?

We will first find the prime factorization of 28225 and 28240. After we will calculate the factors of 28225 and 28240 and find the biggest common factor number .

Step-1: Prime Factorization of 28225

Prime factors of 28225 are 5, 1129. Prime factorization of 28225 in exponential form is:

28225 = 5² × 1129¹

Step-2: Prime Factorization of 28240

Prime factors of 28240 are 2, 5, 353. Prime factorization of 28240 in exponential form is:

28240 = 2⁴ × 5¹ × 353¹

Step-3: Factors of 28225

List of positive integer factors of 28225 that divides 28225 without a remainder.

1, 5, 25, 1129, 5645

Step-4: Factors of 28240

List of positive integer factors of 28240 that divides 28225 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 353, 706, 1412, 1765, 2824, 3530, 5648, 7060, 14120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28225 and 28240. The biggest common factor number is the GCF number.
So the greatest common factor 28225 and 28240 is 5.

Also check out the Least Common Multiple of 28225 and 28240