What is the Greatest Common Factor of 47964 and 47973?

Greatest common factor (GCF) of 47964 and 47973 is 3.

GCF(47964,47973) = 3

We will now calculate the prime factors of 47964 and 47973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47964 and 47973.

How to find the GCF of 47964 and 47973?

We will first find the prime factorization of 47964 and 47973. After we will calculate the factors of 47964 and 47973 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 47973

Prime factors of 47973 are 3, 15991. Prime factorization of 47973 in exponential form is:

47973 = 3¹ × 15991¹

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 47973

List of positive integer factors of 47973 that divides 47964 without a remainder.

1, 3, 15991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47964 and 47973. The biggest common factor number is the GCF number.
So the greatest common factor 47964 and 47973 is 3.

Also check out the Least Common Multiple of 47964 and 47973