What is the Greatest Common Factor of 28868 and 28882?

Greatest common factor (GCF) of 28868 and 28882 is 14.

GCF(28868,28882) = 14

We will now calculate the prime factors of 28868 and 28882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28868 and 28882.

How to find the GCF of 28868 and 28882?

We will first find the prime factorization of 28868 and 28882. After we will calculate the factors of 28868 and 28882 and find the biggest common factor number .

Step-1: Prime Factorization of 28868

Prime factors of 28868 are 2, 7, 1031. Prime factorization of 28868 in exponential form is:

28868 = 2² × 7¹ × 1031¹

Step-2: Prime Factorization of 28882

Prime factors of 28882 are 2, 7, 2063. Prime factorization of 28882 in exponential form is:

28882 = 2¹ × 7¹ × 2063¹

Step-3: Factors of 28868

List of positive integer factors of 28868 that divides 28868 without a remainder.

1, 2, 4, 7, 14, 28, 1031, 2062, 4124, 7217, 14434

Step-4: Factors of 28882

List of positive integer factors of 28882 that divides 28868 without a remainder.

1, 2, 7, 14, 2063, 4126, 14441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28868 and 28882. The biggest common factor number is the GCF number.
So the greatest common factor 28868 and 28882 is 14.

Also check out the Least Common Multiple of 28868 and 28882