What is the Greatest Common Factor of 47976 and 47996?

Greatest common factor (GCF) of 47976 and 47996 is 4.

GCF(47976,47996) = 4

We will now calculate the prime factors of 47976 and 47996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47976 and 47996.

How to find the GCF of 47976 and 47996?

We will first find the prime factorization of 47976 and 47996. After we will calculate the factors of 47976 and 47996 and find the biggest common factor number .

Step-1: Prime Factorization of 47976

Prime factors of 47976 are 2, 3, 1999. Prime factorization of 47976 in exponential form is:

47976 = 2³ × 3¹ × 1999¹

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 47976

List of positive integer factors of 47976 that divides 47976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1999, 3998, 5997, 7996, 11994, 15992, 23988

Step-4: Factors of 47996

List of positive integer factors of 47996 that divides 47976 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 47976 and 47996. The biggest common factor number is the GCF number.
So the greatest common factor 47976 and 47996 is 4.

Also check out the Least Common Multiple of 47976 and 47996