What is the Greatest Common Factor of 47920 and 47924?

Greatest common factor (GCF) of 47920 and 47924 is 4.

GCF(47920,47924) = 4

We will now calculate the prime factors of 47920 and 47924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47920 and 47924.

How to find the GCF of 47920 and 47924?

We will first find the prime factorization of 47920 and 47924. After we will calculate the factors of 47920 and 47924 and find the biggest common factor number .

Step-1: Prime Factorization of 47920

Prime factors of 47920 are 2, 5, 599. Prime factorization of 47920 in exponential form is:

47920 = 2⁴ × 5¹ × 599¹

Step-2: Prime Factorization of 47924

Prime factors of 47924 are 2, 11981. Prime factorization of 47924 in exponential form is:

47924 = 2² × 11981¹

Step-3: Factors of 47920

List of positive integer factors of 47920 that divides 47920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 599, 1198, 2396, 2995, 4792, 5990, 9584, 11980, 23960

Step-4: Factors of 47924

List of positive integer factors of 47924 that divides 47920 without a remainder.

1, 2, 4, 11981, 23962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47920 and 47924. The biggest common factor number is the GCF number.
So the greatest common factor 47920 and 47924 is 4.

Also check out the Least Common Multiple of 47920 and 47924