What is the Greatest Common Factor of 47920 and 47939?

Greatest common factor (GCF) of 47920 and 47939 is 1.

GCF(47920,47939) = 1

We will now calculate the prime factors of 47920 and 47939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47920 and 47939.

How to find the GCF of 47920 and 47939?

We will first find the prime factorization of 47920 and 47939. After we will calculate the factors of 47920 and 47939 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 47939

Prime factors of 47939 are 47939. Prime factorization of 47939 in exponential form is:

47939 = 47939¹

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 47939

List of positive integer factors of 47939 that divides 47920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47920 and 47939. The biggest common factor number is the GCF number.
So the greatest common factor 47920 and 47939 is 1.

Also check out the Least Common Multiple of 47920 and 47939