What is the Greatest Common Factor of 30852 and 30871?

Greatest common factor (GCF) of 30852 and 30871 is 1.

GCF(30852,30871) = 1

We will now calculate the prime factors of 30852 and 30871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30852 and 30871.

How to find the GCF of 30852 and 30871?

We will first find the prime factorization of 30852 and 30871. After we will calculate the factors of 30852 and 30871 and find the biggest common factor number .

Step-1: Prime Factorization of 30852

Prime factors of 30852 are 2, 3, 857. Prime factorization of 30852 in exponential form is:

30852 = 2² × 3² × 857¹

Step-2: Prime Factorization of 30871

Prime factors of 30871 are 30871. Prime factorization of 30871 in exponential form is:

30871 = 30871¹

Step-3: Factors of 30852

List of positive integer factors of 30852 that divides 30852 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 857, 1714, 2571, 3428, 5142, 7713, 10284, 15426

Step-4: Factors of 30871

List of positive integer factors of 30871 that divides 30852 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30852 and 30871. The biggest common factor number is the GCF number.
So the greatest common factor 30852 and 30871 is 1.

Also check out the Least Common Multiple of 30852 and 30871