What is the Greatest Common Factor of 4995 and 5000?

Greatest common factor (GCF) of 4995 and 5000 is 5.

GCF(4995,5000) = 5

We will now calculate the prime factors of 4995 and 5000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4995 and 5000.

How to find the GCF of 4995 and 5000?

We will first find the prime factorization of 4995 and 5000. After we will calculate the factors of 4995 and 5000 and find the biggest common factor number .

Step-1: Prime Factorization of 4995

Prime factors of 4995 are 3, 5, 37. Prime factorization of 4995 in exponential form is:

4995 = 3³ × 5¹ × 37¹

Step-2: Prime Factorization of 5000

Prime factors of 5000 are 2, 5. Prime factorization of 5000 in exponential form is:

5000 = 2³ × 5⁴

Step-3: Factors of 4995

List of positive integer factors of 4995 that divides 4995 without a remainder.

1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665

Step-4: Factors of 5000

List of positive integer factors of 5000 that divides 4995 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4995 and 5000. The biggest common factor number is the GCF number.
So the greatest common factor 4995 and 5000 is 5.

Also check out the Least Common Multiple of 4995 and 5000