What is the Greatest Common Factor of 47990 and 47996?

Greatest common factor (GCF) of 47990 and 47996 is 2.

GCF(47990,47996) = 2

We will now calculate the prime factors of 47990 and 47996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47990 and 47996.

How to find the GCF of 47990 and 47996?

We will first find the prime factorization of 47990 and 47996. After we will calculate the factors of 47990 and 47996 and find the biggest common factor number .

Step-1: Prime Factorization of 47990

Prime factors of 47990 are 2, 5, 4799. Prime factorization of 47990 in exponential form is:

47990 = 2¹ × 5¹ × 4799¹

Step-2: Prime Factorization of 47996

Prime factors of 47996 are 2, 13, 71. Prime factorization of 47996 in exponential form is:

47996 = 2² × 13² × 71¹

Step-3: Factors of 47990

List of positive integer factors of 47990 that divides 47990 without a remainder.

1, 2, 5, 10, 4799, 9598, 23995

Step-4: Factors of 47996

List of positive integer factors of 47996 that divides 47990 without a remainder.

1, 2, 4, 13, 26, 52, 71, 142, 169, 284, 338, 676, 923, 1846, 3692, 11999, 23998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47990 and 47996. The biggest common factor number is the GCF number.
So the greatest common factor 47990 and 47996 is 2.

Also check out the Least Common Multiple of 47990 and 47996