What is the Greatest Common Factor of 47954 and 47958?

Greatest common factor (GCF) of 47954 and 47958 is 2.

GCF(47954,47958) = 2

We will now calculate the prime factors of 47954 and 47958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47954 and 47958.

How to find the GCF of 47954 and 47958?

We will first find the prime factorization of 47954 and 47958. After we will calculate the factors of 47954 and 47958 and find the biggest common factor number .

Step-1: Prime Factorization of 47954

Prime factors of 47954 are 2, 23977. Prime factorization of 47954 in exponential form is:

47954 = 2¹ × 23977¹

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 47954

List of positive integer factors of 47954 that divides 47954 without a remainder.

1, 2, 23977

Step-4: Factors of 47958

List of positive integer factors of 47958 that divides 47954 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47954 and 47958. The biggest common factor number is the GCF number.
So the greatest common factor 47954 and 47958 is 2.

Also check out the Least Common Multiple of 47954 and 47958