What is the Greatest Common Factor of 47920 and 47928?

Greatest common factor (GCF) of 47920 and 47928 is 8.

GCF(47920,47928) = 8

We will now calculate the prime factors of 47920 and 47928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47920 and 47928.

How to find the GCF of 47920 and 47928?

We will first find the prime factorization of 47920 and 47928. After we will calculate the factors of 47920 and 47928 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 47928

Prime factors of 47928 are 2, 3, 1997. Prime factorization of 47928 in exponential form is:

47928 = 2³ × 3¹ × 1997¹

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 47928

List of positive integer factors of 47928 that divides 47920 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1997, 3994, 5991, 7988, 11982, 15976, 23964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47920 and 47928. The biggest common factor number is the GCF number.
So the greatest common factor 47920 and 47928 is 8.

Also check out the Least Common Multiple of 47920 and 47928