What is the Greatest Common Factor of 4990 and 4994?

Greatest common factor (GCF) of 4990 and 4994 is 2.

GCF(4990,4994) = 2

We will now calculate the prime factors of 4990 and 4994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4990 and 4994.

How to find the GCF of 4990 and 4994?

We will first find the prime factorization of 4990 and 4994. After we will calculate the factors of 4990 and 4994 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 4994

Prime factors of 4994 are 2, 11, 227. Prime factorization of 4994 in exponential form is:

4994 = 2¹ × 11¹ × 227¹

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 4994

List of positive integer factors of 4994 that divides 4990 without a remainder.

1, 2, 11, 22, 227, 454, 2497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4990 and 4994. The biggest common factor number is the GCF number.
So the greatest common factor 4990 and 4994 is 2.

Also check out the Least Common Multiple of 4990 and 4994