What is the Greatest Common Factor of 28205 and 28210?

Greatest common factor (GCF) of 28205 and 28210 is 5.

GCF(28205,28210) = 5

We will now calculate the prime factors of 28205 and 28210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28205 and 28210.

How to find the GCF of 28205 and 28210?

We will first find the prime factorization of 28205 and 28210. After we will calculate the factors of 28205 and 28210 and find the biggest common factor number .

Step-1: Prime Factorization of 28205

Prime factors of 28205 are 5, 5641. Prime factorization of 28205 in exponential form is:

28205 = 5¹ × 5641¹

Step-2: Prime Factorization of 28210

Prime factors of 28210 are 2, 5, 7, 13, 31. Prime factorization of 28210 in exponential form is:

28210 = 2¹ × 5¹ × 7¹ × 13¹ × 31¹

Step-3: Factors of 28205

List of positive integer factors of 28205 that divides 28205 without a remainder.

1, 5, 5641

Step-4: Factors of 28210

List of positive integer factors of 28210 that divides 28205 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 31, 35, 62, 65, 70, 91, 130, 155, 182, 217, 310, 403, 434, 455, 806, 910, 1085, 2015, 2170, 2821, 4030, 5642, 14105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28205 and 28210. The biggest common factor number is the GCF number.
So the greatest common factor 28205 and 28210 is 5.

Also check out the Least Common Multiple of 28205 and 28210