What is the Greatest Common Factor of 30919 and 30933?

Greatest common factor (GCF) of 30919 and 30933 is 7.

GCF(30919,30933) = 7

We will now calculate the prime factors of 30919 and 30933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30919 and 30933.

How to find the GCF of 30919 and 30933?

We will first find the prime factorization of 30919 and 30933. After we will calculate the factors of 30919 and 30933 and find the biggest common factor number .

Step-1: Prime Factorization of 30919

Prime factors of 30919 are 7, 631. Prime factorization of 30919 in exponential form is:

30919 = 7² × 631¹

Step-2: Prime Factorization of 30933

Prime factors of 30933 are 3, 7, 491. Prime factorization of 30933 in exponential form is:

30933 = 3² × 7¹ × 491¹

Step-3: Factors of 30919

List of positive integer factors of 30919 that divides 30919 without a remainder.

1, 7, 49, 631, 4417

Step-4: Factors of 30933

List of positive integer factors of 30933 that divides 30919 without a remainder.

1, 3, 7, 9, 21, 63, 491, 1473, 3437, 4419, 10311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30919 and 30933. The biggest common factor number is the GCF number.
So the greatest common factor 30919 and 30933 is 7.

Also check out the Least Common Multiple of 30919 and 30933