What is the Greatest Common Factor of 47272 and 47291?

Greatest common factor (GCF) of 47272 and 47291 is 19.

GCF(47272,47291) = 19

We will now calculate the prime factors of 47272 and 47291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47272 and 47291.

How to find the GCF of 47272 and 47291?

We will first find the prime factorization of 47272 and 47291. After we will calculate the factors of 47272 and 47291 and find the biggest common factor number .

Step-1: Prime Factorization of 47272

Prime factors of 47272 are 2, 19, 311. Prime factorization of 47272 in exponential form is:

47272 = 2³ × 19¹ × 311¹

Step-2: Prime Factorization of 47291

Prime factors of 47291 are 19, 131. Prime factorization of 47291 in exponential form is:

47291 = 19² × 131¹

Step-3: Factors of 47272

List of positive integer factors of 47272 that divides 47272 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 311, 622, 1244, 2488, 5909, 11818, 23636

Step-4: Factors of 47291

List of positive integer factors of 47291 that divides 47272 without a remainder.

1, 19, 131, 361, 2489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47272 and 47291. The biggest common factor number is the GCF number.
So the greatest common factor 47272 and 47291 is 19.

Also check out the Least Common Multiple of 47272 and 47291