What is the Greatest Common Factor of 47948 and 47954?

Greatest common factor (GCF) of 47948 and 47954 is 2.

GCF(47948,47954) = 2

We will now calculate the prime factors of 47948 and 47954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47948 and 47954.

How to find the GCF of 47948 and 47954?

We will first find the prime factorization of 47948 and 47954. After we will calculate the factors of 47948 and 47954 and find the biggest common factor number .

Step-1: Prime Factorization of 47948

Prime factors of 47948 are 2, 11987. Prime factorization of 47948 in exponential form is:

47948 = 2² × 11987¹

Step-2: Prime Factorization of 47954

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

47954 = 2¹ × 23977¹

Step-3: Factors of 47948

List of positive integer factors of 47948 that divides 47948 without a remainder.

1, 2, 4, 11987, 23974

Step-4: Factors of 47954

List of positive integer factors of 47954 that divides 47948 without a remainder.

1, 2, 23977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47948 and 47954. The biggest common factor number is the GCF number.
So the greatest common factor 47948 and 47954 is 2.

Also check out the Least Common Multiple of 47948 and 47954