What is the Greatest Common Factor of 28208 and 28220?

Greatest common factor (GCF) of 28208 and 28220 is 4.

GCF(28208,28220) = 4

We will now calculate the prime factors of 28208 and 28220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28208 and 28220.

How to find the GCF of 28208 and 28220?

We will first find the prime factorization of 28208 and 28220. After we will calculate the factors of 28208 and 28220 and find the biggest common factor number .

Step-1: Prime Factorization of 28208

Prime factors of 28208 are 2, 41, 43. Prime factorization of 28208 in exponential form is:

28208 = 2⁴ × 41¹ × 43¹

Step-2: Prime Factorization of 28220

Prime factors of 28220 are 2, 5, 17, 83. Prime factorization of 28220 in exponential form is:

28220 = 2² × 5¹ × 17¹ × 83¹

Step-3: Factors of 28208

List of positive integer factors of 28208 that divides 28208 without a remainder.

1, 2, 4, 8, 16, 41, 43, 82, 86, 164, 172, 328, 344, 656, 688, 1763, 3526, 7052, 14104

Step-4: Factors of 28220

List of positive integer factors of 28220 that divides 28208 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 83, 85, 166, 170, 332, 340, 415, 830, 1411, 1660, 2822, 5644, 7055, 14110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28208 and 28220. The biggest common factor number is the GCF number.
So the greatest common factor 28208 and 28220 is 4.

Also check out the Least Common Multiple of 28208 and 28220