What is the Greatest Common Factor of 28000 and 28013?

Greatest common factor (GCF) of 28000 and 28013 is 1.

GCF(28000,28013) = 1

We will now calculate the prime factors of 28000 and 28013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28000 and 28013.

How to find the GCF of 28000 and 28013?

We will first find the prime factorization of 28000 and 28013. After we will calculate the factors of 28000 and 28013 and find the biggest common factor number .

Step-1: Prime Factorization of 28000

Prime factors of 28000 are 2, 5, 7. Prime factorization of 28000 in exponential form is:

28000 = 2⁵ × 5³ × 7¹

Step-2: Prime Factorization of 28013

Prime factors of 28013 are 109, 257. Prime factorization of 28013 in exponential form is:

28013 = 109¹ × 257¹

Step-3: Factors of 28000

List of positive integer factors of 28000 that divides 28000 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 125, 140, 160, 175, 200, 224, 250, 280, 350, 400, 500, 560, 700, 800, 875, 1000, 1120, 1400, 1750, 2000, 2800, 3500, 4000, 5600, 7000, 14000

Step-4: Factors of 28013

List of positive integer factors of 28013 that divides 28000 without a remainder.

1, 109, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28000 and 28013. The biggest common factor number is the GCF number.
So the greatest common factor 28000 and 28013 is 1.

Also check out the Least Common Multiple of 28000 and 28013