What is the Greatest Common Factor of 47814 and 47824?

Greatest common factor (GCF) of 47814 and 47824 is 2.

GCF(47814,47824) = 2

We will now calculate the prime factors of 47814 and 47824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47814 and 47824.

How to find the GCF of 47814 and 47824?

We will first find the prime factorization of 47814 and 47824. After we will calculate the factors of 47814 and 47824 and find the biggest common factor number .

Step-1: Prime Factorization of 47814

Prime factors of 47814 are 2, 3, 13, 613. Prime factorization of 47814 in exponential form is:

47814 = 2¹ × 3¹ × 13¹ × 613¹

Step-2: 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-3: Factors of 47814

List of positive integer factors of 47814 that divides 47814 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 613, 1226, 1839, 3678, 7969, 15938, 23907

Step-4: Factors of 47824

List of positive integer factors of 47824 that divides 47814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47814 and 47824. The biggest common factor number is the GCF number.
So the greatest common factor 47814 and 47824 is 2.

Also check out the Least Common Multiple of 47814 and 47824