What is the Greatest Common Factor of 30879 and 30891?

Greatest common factor (GCF) of 30879 and 30891 is 3.

GCF(30879,30891) = 3

We will now calculate the prime factors of 30879 and 30891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30879 and 30891.

How to find the GCF of 30879 and 30891?

We will first find the prime factorization of 30879 and 30891. After we will calculate the factors of 30879 and 30891 and find the biggest common factor number .

Step-1: Prime Factorization of 30879

Prime factors of 30879 are 3, 47, 73. Prime factorization of 30879 in exponential form is:

30879 = 3² × 47¹ × 73¹

Step-2: Prime Factorization of 30891

Prime factors of 30891 are 3, 7, 1471. Prime factorization of 30891 in exponential form is:

30891 = 3¹ × 7¹ × 1471¹

Step-3: Factors of 30879

List of positive integer factors of 30879 that divides 30879 without a remainder.

1, 3, 9, 47, 73, 141, 219, 423, 657, 3431, 10293

Step-4: Factors of 30891

List of positive integer factors of 30891 that divides 30879 without a remainder.

1, 3, 7, 21, 1471, 4413, 10297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30879 and 30891. The biggest common factor number is the GCF number.
So the greatest common factor 30879 and 30891 is 3.

Also check out the Least Common Multiple of 30879 and 30891