What is the Greatest Common Factor of 47310 and 47330?

Greatest common factor (GCF) of 47310 and 47330 is 10.

GCF(47310,47330) = 10

We will now calculate the prime factors of 47310 and 47330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47310 and 47330.

How to find the GCF of 47310 and 47330?

We will first find the prime factorization of 47310 and 47330. After we will calculate the factors of 47310 and 47330 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47330

Prime factors of 47330 are 2, 5, 4733. Prime factorization of 47330 in exponential form is:

47330 = 2¹ × 5¹ × 4733¹

Step-3: Factors of 47310

List of positive integer factors of 47310 that divides 47310 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

Step-4: Factors of 47330

List of positive integer factors of 47330 that divides 47310 without a remainder.

1, 2, 5, 10, 4733, 9466, 23665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47310 and 47330. The biggest common factor number is the GCF number.
So the greatest common factor 47310 and 47330 is 10.

Also check out the Least Common Multiple of 47310 and 47330