What is the Greatest Common Factor of 47824 and 47838?

Greatest common factor (GCF) of 47824 and 47838 is 14.

GCF(47824,47838) = 14

We will now calculate the prime factors of 47824 and 47838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47824 and 47838.

How to find the GCF of 47824 and 47838?

We will first find the prime factorization of 47824 and 47838. After we will calculate the factors of 47824 and 47838 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 47838

Prime factors of 47838 are 2, 3, 7, 17, 67. Prime factorization of 47838 in exponential form is:

47838 = 2¹ × 3¹ × 7¹ × 17¹ × 67¹

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 47838

List of positive integer factors of 47838 that divides 47824 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 67, 102, 119, 134, 201, 238, 357, 402, 469, 714, 938, 1139, 1407, 2278, 2814, 3417, 6834, 7973, 15946, 23919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47824 and 47838. The biggest common factor number is the GCF number.
So the greatest common factor 47824 and 47838 is 14.

Also check out the Least Common Multiple of 47824 and 47838