What is the Greatest Common Factor of 30471 and 30477?

Greatest common factor (GCF) of 30471 and 30477 is 3.

GCF(30471,30477) = 3

We will now calculate the prime factors of 30471 and 30477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30471 and 30477.

How to find the GCF of 30471 and 30477?

We will first find the prime factorization of 30471 and 30477. After we will calculate the factors of 30471 and 30477 and find the biggest common factor number .

Step-1: Prime Factorization of 30471

Prime factors of 30471 are 3, 7, 1451. Prime factorization of 30471 in exponential form is:

30471 = 3¹ × 7¹ × 1451¹

Step-2: Prime Factorization of 30477

Prime factors of 30477 are 3, 10159. Prime factorization of 30477 in exponential form is:

30477 = 3¹ × 10159¹

Step-3: Factors of 30471

List of positive integer factors of 30471 that divides 30471 without a remainder.

1, 3, 7, 21, 1451, 4353, 10157

Step-4: Factors of 30477

List of positive integer factors of 30477 that divides 30471 without a remainder.

1, 3, 10159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30471 and 30477. The biggest common factor number is the GCF number.
So the greatest common factor 30471 and 30477 is 3.

Also check out the Least Common Multiple of 30471 and 30477