What is the Greatest Common Factor of 28302 and 28316?

Greatest common factor (GCF) of 28302 and 28316 is 2.

GCF(28302,28316) = 2

We will now calculate the prime factors of 28302 and 28316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28302 and 28316.

How to find the GCF of 28302 and 28316?

We will first find the prime factorization of 28302 and 28316. After we will calculate the factors of 28302 and 28316 and find the biggest common factor number .

Step-1: Prime Factorization of 28302

Prime factors of 28302 are 2, 3, 53, 89. Prime factorization of 28302 in exponential form is:

28302 = 2¹ × 3¹ × 53¹ × 89¹

Step-2: Prime Factorization of 28316

Prime factors of 28316 are 2, 7079. Prime factorization of 28316 in exponential form is:

28316 = 2² × 7079¹

Step-3: Factors of 28302

List of positive integer factors of 28302 that divides 28302 without a remainder.

1, 2, 3, 6, 53, 89, 106, 159, 178, 267, 318, 534, 4717, 9434, 14151

Step-4: Factors of 28316

List of positive integer factors of 28316 that divides 28302 without a remainder.

1, 2, 4, 7079, 14158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28302 and 28316. The biggest common factor number is the GCF number.
So the greatest common factor 28302 and 28316 is 2.

Also check out the Least Common Multiple of 28302 and 28316