What is the Greatest Common Factor of 28214 and 28218?

Greatest common factor (GCF) of 28214 and 28218 is 2.

GCF(28214,28218) = 2

We will now calculate the prime factors of 28214 and 28218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28214 and 28218.

How to find the GCF of 28214 and 28218?

We will first find the prime factorization of 28214 and 28218. After we will calculate the factors of 28214 and 28218 and find the biggest common factor number .

Step-1: Prime Factorization of 28214

Prime factors of 28214 are 2, 14107. Prime factorization of 28214 in exponential form is:

28214 = 2¹ × 14107¹

Step-2: Prime Factorization of 28218

Prime factors of 28218 are 2, 3, 4703. Prime factorization of 28218 in exponential form is:

28218 = 2¹ × 3¹ × 4703¹

Step-3: Factors of 28214

List of positive integer factors of 28214 that divides 28214 without a remainder.

1, 2, 14107

Step-4: Factors of 28218

List of positive integer factors of 28218 that divides 28214 without a remainder.

1, 2, 3, 6, 4703, 9406, 14109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28214 and 28218. The biggest common factor number is the GCF number.
So the greatest common factor 28214 and 28218 is 2.

Also check out the Least Common Multiple of 28214 and 28218