What is the Greatest Common Factor of 47914 and 47920?

Greatest common factor (GCF) of 47914 and 47920 is 2.

GCF(47914,47920) = 2

We will now calculate the prime factors of 47914 and 47920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47914 and 47920.

How to find the GCF of 47914 and 47920?

We will first find the prime factorization of 47914 and 47920. After we will calculate the factors of 47914 and 47920 and find the biggest common factor number .

Step-1: Prime Factorization of 47914

Prime factors of 47914 are 2, 23957. Prime factorization of 47914 in exponential form is:

47914 = 2¹ × 23957¹

Step-2: 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-3: Factors of 47914

List of positive integer factors of 47914 that divides 47914 without a remainder.

1, 2, 23957

Step-4: Factors of 47920

List of positive integer factors of 47920 that divides 47914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47914 and 47920. The biggest common factor number is the GCF number.
So the greatest common factor 47914 and 47920 is 2.

Also check out the Least Common Multiple of 47914 and 47920