What is the Greatest Common Factor of 47234 and 47253?

Greatest common factor (GCF) of 47234 and 47253 is 19.

GCF(47234,47253) = 19

We will now calculate the prime factors of 47234 and 47253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47234 and 47253.

How to find the GCF of 47234 and 47253?

We will first find the prime factorization of 47234 and 47253. After we will calculate the factors of 47234 and 47253 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 47253

Prime factors of 47253 are 3, 19, 829. Prime factorization of 47253 in exponential form is:

47253 = 3¹ × 19¹ × 829¹

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 47253

List of positive integer factors of 47253 that divides 47234 without a remainder.

1, 3, 19, 57, 829, 2487, 15751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47234 and 47253. The biggest common factor number is the GCF number.
So the greatest common factor 47234 and 47253 is 19.

Also check out the Least Common Multiple of 47234 and 47253