What is the Greatest Common Factor of 28000 and 28005?

Greatest common factor (GCF) of 28000 and 28005 is 5.

GCF(28000,28005) = 5

We will now calculate the prime factors of 28000 and 28005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28000 and 28005.

How to find the GCF of 28000 and 28005?

We will first find the prime factorization of 28000 and 28005. After we will calculate the factors of 28000 and 28005 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 28005

Prime factors of 28005 are 3, 5, 1867. Prime factorization of 28005 in exponential form is:

28005 = 3¹ × 5¹ × 1867¹

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 28005

List of positive integer factors of 28005 that divides 28000 without a remainder.

1, 3, 5, 15, 1867, 5601, 9335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28000 and 28005. The biggest common factor number is the GCF number.
So the greatest common factor 28000 and 28005 is 5.

Also check out the Least Common Multiple of 28000 and 28005