What is the Greatest Common Factor of 47900 and 47914?

Greatest common factor (GCF) of 47900 and 47914 is 2.

GCF(47900,47914) = 2

We will now calculate the prime factors of 47900 and 47914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47900 and 47914.

How to find the GCF of 47900 and 47914?

We will first find the prime factorization of 47900 and 47914. After we will calculate the factors of 47900 and 47914 and find the biggest common factor number .

Step-1: Prime Factorization of 47900

Prime factors of 47900 are 2, 5, 479. Prime factorization of 47900 in exponential form is:

47900 = 2² × 5² × 479¹

Step-2: Prime Factorization of 47914

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

47914 = 2¹ × 23957¹

Step-3: Factors of 47900

List of positive integer factors of 47900 that divides 47900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 479, 958, 1916, 2395, 4790, 9580, 11975, 23950

Step-4: Factors of 47914

List of positive integer factors of 47914 that divides 47900 without a remainder.

1, 2, 23957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47900 and 47914. The biggest common factor number is the GCF number.
So the greatest common factor 47900 and 47914 is 2.

Also check out the Least Common Multiple of 47900 and 47914