What is the Greatest Common Factor of 47291 and 47310?

Greatest common factor (GCF) of 47291 and 47310 is 19.

GCF(47291,47310) = 19

We will now calculate the prime factors of 47291 and 47310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47291 and 47310.

How to find the GCF of 47291 and 47310?

We will first find the prime factorization of 47291 and 47310. After we will calculate the factors of 47291 and 47310 and find the biggest common factor number .

Step-1: Prime Factorization of 47291

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

47291 = 19² × 131¹

Step-2: Prime Factorization of 47310

Prime factors of 47310 are 2, 3, 5, 19, 83. Prime factorization of 47310 in exponential form is:

47310 = 2¹ × 3¹ × 5¹ × 19¹ × 83¹

Step-3: Factors of 47291

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

1, 19, 131, 361, 2489

Step-4: Factors of 47310

List of positive integer factors of 47310 that divides 47291 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 83, 95, 114, 166, 190, 249, 285, 415, 498, 570, 830, 1245, 1577, 2490, 3154, 4731, 7885, 9462, 15770, 23655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47291 and 47310. The biggest common factor number is the GCF number.
So the greatest common factor 47291 and 47310 is 19.

Also check out the Least Common Multiple of 47291 and 47310