What is the Greatest Common Factor of 47234 and 47238?

Greatest common factor (GCF) of 47234 and 47238 is 2.

GCF(47234,47238) = 2

We will now calculate the prime factors of 47234 and 47238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47234 and 47238.

How to find the GCF of 47234 and 47238?

We will first find the prime factorization of 47234 and 47238. After we will calculate the factors of 47234 and 47238 and find the biggest common factor number .

Step-1: Prime Factorization of 47234

Prime factors of 47234 are 2, 11, 19, 113. Prime factorization of 47234 in exponential form is:

47234 = 2¹ × 11¹ × 19¹ × 113¹

Step-2: Prime Factorization of 47238

Prime factors of 47238 are 2, 3, 7873. Prime factorization of 47238 in exponential form is:

47238 = 2¹ × 3¹ × 7873¹

Step-3: Factors of 47234

List of positive integer factors of 47234 that divides 47234 without a remainder.

1, 2, 11, 19, 22, 38, 113, 209, 226, 418, 1243, 2147, 2486, 4294, 23617

Step-4: Factors of 47238

List of positive integer factors of 47238 that divides 47234 without a remainder.

1, 2, 3, 6, 7873, 15746, 23619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47234 and 47238. The biggest common factor number is the GCF number.
So the greatest common factor 47234 and 47238 is 2.

Also check out the Least Common Multiple of 47234 and 47238