What is the Greatest Common Factor of 47824 and 47841?

Greatest common factor (GCF) of 47824 and 47841 is 1.

GCF(47824,47841) = 1

We will now calculate the prime factors of 47824 and 47841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47824 and 47841.

How to find the GCF of 47824 and 47841?

We will first find the prime factorization of 47824 and 47841. After we will calculate the factors of 47824 and 47841 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 47841

Prime factors of 47841 are 3, 37, 431. Prime factorization of 47841 in exponential form is:

47841 = 3¹ × 37¹ × 431¹

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 47841

List of positive integer factors of 47841 that divides 47824 without a remainder.

1, 3, 37, 111, 431, 1293, 15947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47824 and 47841. The biggest common factor number is the GCF number.
So the greatest common factor 47824 and 47841 is 1.

Also check out the Least Common Multiple of 47824 and 47841