What is the Greatest Common Factor of 30762 and 30779?

Greatest common factor (GCF) of 30762 and 30779 is 1.

GCF(30762,30779) = 1

We will now calculate the prime factors of 30762 and 30779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30762 and 30779.

How to find the GCF of 30762 and 30779?

We will first find the prime factorization of 30762 and 30779. After we will calculate the factors of 30762 and 30779 and find the biggest common factor number .

Step-1: Prime Factorization of 30762

Prime factors of 30762 are 2, 3, 1709. Prime factorization of 30762 in exponential form is:

30762 = 2¹ × 3² × 1709¹

Step-2: Prime Factorization of 30779

Prime factors of 30779 are 7, 4397. Prime factorization of 30779 in exponential form is:

30779 = 7¹ × 4397¹

Step-3: Factors of 30762

List of positive integer factors of 30762 that divides 30762 without a remainder.

1, 2, 3, 6, 9, 18, 1709, 3418, 5127, 10254, 15381

Step-4: Factors of 30779

List of positive integer factors of 30779 that divides 30762 without a remainder.

1, 7, 4397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30762 and 30779. The biggest common factor number is the GCF number.
So the greatest common factor 30762 and 30779 is 1.

Also check out the Least Common Multiple of 30762 and 30779