What is the Greatest Common Factor of 47946 and 47958?

Greatest common factor (GCF) of 47946 and 47958 is 6.

GCF(47946,47958) = 6

We will now calculate the prime factors of 47946 and 47958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47946 and 47958.

How to find the GCF of 47946 and 47958?

We will first find the prime factorization of 47946 and 47958. After we will calculate the factors of 47946 and 47958 and find the biggest common factor number .

Step-1: Prime Factorization of 47946

Prime factors of 47946 are 2, 3, 61, 131. Prime factorization of 47946 in exponential form is:

47946 = 2¹ × 3¹ × 61¹ × 131¹

Step-2: Prime Factorization of 47958

Prime factors of 47958 are 2, 3, 7993. Prime factorization of 47958 in exponential form is:

47958 = 2¹ × 3¹ × 7993¹

Step-3: Factors of 47946

List of positive integer factors of 47946 that divides 47946 without a remainder.

1, 2, 3, 6, 61, 122, 131, 183, 262, 366, 393, 786, 7991, 15982, 23973

Step-4: Factors of 47958

List of positive integer factors of 47958 that divides 47946 without a remainder.

1, 2, 3, 6, 7993, 15986, 23979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47946 and 47958. The biggest common factor number is the GCF number.
So the greatest common factor 47946 and 47958 is 6.

Also check out the Least Common Multiple of 47946 and 47958