What is the Greatest Common Factor of 28364 and 28382?

Greatest common factor (GCF) of 28364 and 28382 is 2.

GCF(28364,28382) = 2

We will now calculate the prime factors of 28364 and 28382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28364 and 28382.

How to find the GCF of 28364 and 28382?

We will first find the prime factorization of 28364 and 28382. After we will calculate the factors of 28364 and 28382 and find the biggest common factor number .

Step-1: Prime Factorization of 28364

Prime factors of 28364 are 2, 7, 1013. Prime factorization of 28364 in exponential form is:

28364 = 2² × 7¹ × 1013¹

Step-2: Prime Factorization of 28382

Prime factors of 28382 are 2, 23, 617. Prime factorization of 28382 in exponential form is:

28382 = 2¹ × 23¹ × 617¹

Step-3: Factors of 28364

List of positive integer factors of 28364 that divides 28364 without a remainder.

1, 2, 4, 7, 14, 28, 1013, 2026, 4052, 7091, 14182

Step-4: Factors of 28382

List of positive integer factors of 28382 that divides 28364 without a remainder.

1, 2, 23, 46, 617, 1234, 14191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28364 and 28382. The biggest common factor number is the GCF number.
So the greatest common factor 28364 and 28382 is 2.

Also check out the Least Common Multiple of 28364 and 28382