What is the Greatest Common Factor of 47838 and 47853?

Greatest common factor (GCF) of 47838 and 47853 is 3.

GCF(47838,47853) = 3

We will now calculate the prime factors of 47838 and 47853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47838 and 47853.

How to find the GCF of 47838 and 47853?

We will first find the prime factorization of 47838 and 47853. After we will calculate the factors of 47838 and 47853 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47853

Prime factors of 47853 are 3, 13, 409. Prime factorization of 47853 in exponential form is:

47853 = 3² × 13¹ × 409¹

Step-3: Factors of 47838

List of positive integer factors of 47838 that divides 47838 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

Step-4: Factors of 47853

List of positive integer factors of 47853 that divides 47838 without a remainder.

1, 3, 9, 13, 39, 117, 409, 1227, 3681, 5317, 15951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47838 and 47853. The biggest common factor number is the GCF number.
So the greatest common factor 47838 and 47853 is 3.

Also check out the Least Common Multiple of 47838 and 47853