What is the Greatest Common Factor of 30891 and 30905?

Greatest common factor (GCF) of 30891 and 30905 is 7.

GCF(30891,30905) = 7

We will now calculate the prime factors of 30891 and 30905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30891 and 30905.

How to find the GCF of 30891 and 30905?

We will first find the prime factorization of 30891 and 30905. After we will calculate the factors of 30891 and 30905 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30905

Prime factors of 30905 are 5, 7, 883. Prime factorization of 30905 in exponential form is:

30905 = 5¹ × 7¹ × 883¹

Step-3: Factors of 30891

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

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

Step-4: Factors of 30905

List of positive integer factors of 30905 that divides 30891 without a remainder.

1, 5, 7, 35, 883, 4415, 6181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30891 and 30905. The biggest common factor number is the GCF number.
So the greatest common factor 30891 and 30905 is 7.

Also check out the Least Common Multiple of 30891 and 30905