What is the Greatest Common Factor of 4990 and 5000?

Greatest common factor (GCF) of 4990 and 5000 is 10.

GCF(4990,5000) = 10

We will now calculate the prime factors of 4990 and 5000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4990 and 5000.

How to find the GCF of 4990 and 5000?

We will first find the prime factorization of 4990 and 5000. After we will calculate the factors of 4990 and 5000 and find the biggest common factor number .

Step-1: Prime Factorization of 4990

Prime factors of 4990 are 2, 5, 499. Prime factorization of 4990 in exponential form is:

4990 = 2¹ × 5¹ × 499¹

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 4990

List of positive integer factors of 4990 that divides 4990 without a remainder.

1, 2, 5, 10, 499, 998, 2495

Step-4: Factors of 5000

List of positive integer factors of 5000 that divides 4990 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 4990 and 5000. The biggest common factor number is the GCF number.
So the greatest common factor 4990 and 5000 is 10.

Also check out the Least Common Multiple of 4990 and 5000