What is the Greatest Common Factor of 47824 and 47830?

Greatest common factor (GCF) of 47824 and 47830 is 2.

GCF(47824,47830) = 2

We will now calculate the prime factors of 47824 and 47830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47824 and 47830.

How to find the GCF of 47824 and 47830?

We will first find the prime factorization of 47824 and 47830. After we will calculate the factors of 47824 and 47830 and find the biggest common factor number .

Step-1: Prime Factorization of 47824

Prime factors of 47824 are 2, 7, 61. Prime factorization of 47824 in exponential form is:

47824 = 2⁴ × 7² × 61¹

Step-2: Prime Factorization of 47830

Prime factors of 47830 are 2, 5, 4783. Prime factorization of 47830 in exponential form is:

47830 = 2¹ × 5¹ × 4783¹

Step-3: Factors of 47824

List of positive integer factors of 47824 that divides 47824 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 61, 98, 112, 122, 196, 244, 392, 427, 488, 784, 854, 976, 1708, 2989, 3416, 5978, 6832, 11956, 23912

Step-4: Factors of 47830

List of positive integer factors of 47830 that divides 47824 without a remainder.

1, 2, 5, 10, 4783, 9566, 23915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47824 and 47830. The biggest common factor number is the GCF number.
So the greatest common factor 47824 and 47830 is 2.

Also check out the Least Common Multiple of 47824 and 47830