What is the Greatest Common Factor of 49990 and 50010?

Greatest common factor (GCF) of 49990 and 50010 is 10.

GCF(49990,50010) = 10

We will now calculate the prime factors of 49990 and 50010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49990 and 50010.

How to find the GCF of 49990 and 50010?

We will first find the prime factorization of 49990 and 50010. After we will calculate the factors of 49990 and 50010 and find the biggest common factor number .

Step-1: Prime Factorization of 49990

Prime factors of 49990 are 2, 5, 4999. Prime factorization of 49990 in exponential form is:

49990 = 2¹ × 5¹ × 4999¹

Step-2: Prime Factorization of 50010

Prime factors of 50010 are 2, 3, 5, 1667. Prime factorization of 50010 in exponential form is:

50010 = 2¹ × 3¹ × 5¹ × 1667¹

Step-3: Factors of 49990

List of positive integer factors of 49990 that divides 49990 without a remainder.

1, 2, 5, 10, 4999, 9998, 24995

Step-4: Factors of 50010

List of positive integer factors of 50010 that divides 49990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1667, 3334, 5001, 8335, 10002, 16670, 25005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49990 and 50010. The biggest common factor number is the GCF number.
So the greatest common factor 49990 and 50010 is 10.

Also check out the Least Common Multiple of 49990 and 50010