What is the Greatest Common Factor of 49982 and 49990?

Greatest common factor (GCF) of 49982 and 49990 is 2.

GCF(49982,49990) = 2

We will now calculate the prime factors of 49982 and 49990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49982 and 49990.

How to find the GCF of 49982 and 49990?

We will first find the prime factorization of 49982 and 49990. After we will calculate the factors of 49982 and 49990 and find the biggest common factor number .

Step-1: Prime Factorization of 49982

Prime factors of 49982 are 2, 67, 373. Prime factorization of 49982 in exponential form is:

49982 = 2¹ × 67¹ × 373¹

Step-2: 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-3: Factors of 49982

List of positive integer factors of 49982 that divides 49982 without a remainder.

1, 2, 67, 134, 373, 746, 24991

Step-4: Factors of 49990

List of positive integer factors of 49990 that divides 49982 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49982 and 49990. The biggest common factor number is the GCF number.
So the greatest common factor 49982 and 49990 is 2.

Also check out the Least Common Multiple of 49982 and 49990