What is the Greatest Common Factor of 47964 and 47976?

Greatest common factor (GCF) of 47964 and 47976 is 12.

GCF(47964,47976) = 12

We will now calculate the prime factors of 47964 and 47976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47964 and 47976.

How to find the GCF of 47964 and 47976?

We will first find the prime factorization of 47964 and 47976. After we will calculate the factors of 47964 and 47976 and find the biggest common factor number .

Step-1: Prime Factorization of 47964

Prime factors of 47964 are 2, 3, 7, 571. Prime factorization of 47964 in exponential form is:

47964 = 2² × 3¹ × 7¹ × 571¹

Step-2: 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-3: Factors of 47964

List of positive integer factors of 47964 that divides 47964 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 571, 1142, 1713, 2284, 3426, 3997, 6852, 7994, 11991, 15988, 23982

Step-4: Factors of 47976

List of positive integer factors of 47976 that divides 47964 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47964 and 47976. The biggest common factor number is the GCF number.
So the greatest common factor 47964 and 47976 is 12.

Also check out the Least Common Multiple of 47964 and 47976