What is the Greatest Common Factor of 16228 and 16240?

Greatest common factor (GCF) of 16228 and 16240 is 4.

GCF(16228,16240) = 4

We will now calculate the prime factors of 16228 and 16240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16228 and 16240.

How to find the GCF of 16228 and 16240?

We will first find the prime factorization of 16228 and 16240. After we will calculate the factors of 16228 and 16240 and find the biggest common factor number .

Step-1: Prime Factorization of 16228

Prime factors of 16228 are 2, 4057. Prime factorization of 16228 in exponential form is:

16228 = 2² × 4057¹

Step-2: Prime Factorization of 16240

Prime factors of 16240 are 2, 5, 7, 29. Prime factorization of 16240 in exponential form is:

16240 = 2⁴ × 5¹ × 7¹ × 29¹

Step-3: Factors of 16228

List of positive integer factors of 16228 that divides 16228 without a remainder.

1, 2, 4, 4057, 8114

Step-4: Factors of 16240

List of positive integer factors of 16240 that divides 16228 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 35, 40, 56, 58, 70, 80, 112, 116, 140, 145, 203, 232, 280, 290, 406, 464, 560, 580, 812, 1015, 1160, 1624, 2030, 2320, 3248, 4060, 8120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16228 and 16240. The biggest common factor number is the GCF number.
So the greatest common factor 16228 and 16240 is 4.

Also check out the Least Common Multiple of 16228 and 16240