What is the Greatest Common Factor of 47838 and 47858?

Greatest common factor (GCF) of 47838 and 47858 is 2.

GCF(47838,47858) = 2

We will now calculate the prime factors of 47838 and 47858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47838 and 47858.

How to find the GCF of 47838 and 47858?

We will first find the prime factorization of 47838 and 47858. After we will calculate the factors of 47838 and 47858 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 47858

Prime factors of 47858 are 2, 23929. Prime factorization of 47858 in exponential form is:

47858 = 2¹ × 23929¹

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 47858

List of positive integer factors of 47858 that divides 47838 without a remainder.

1, 2, 23929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47838 and 47858. The biggest common factor number is the GCF number.
So the greatest common factor 47838 and 47858 is 2.

Also check out the Least Common Multiple of 47838 and 47858