What is the Greatest Common Factor of 30788 and 30797?

Greatest common factor (GCF) of 30788 and 30797 is 1.

GCF(30788,30797) = 1

We will now calculate the prime factors of 30788 and 30797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30788 and 30797.

How to find the GCF of 30788 and 30797?

We will first find the prime factorization of 30788 and 30797. After we will calculate the factors of 30788 and 30797 and find the biggest common factor number .

Step-1: Prime Factorization of 30788

Prime factors of 30788 are 2, 43, 179. Prime factorization of 30788 in exponential form is:

30788 = 2² × 43¹ × 179¹

Step-2: Prime Factorization of 30797

Prime factors of 30797 are 13, 23, 103. Prime factorization of 30797 in exponential form is:

30797 = 13¹ × 23¹ × 103¹

Step-3: Factors of 30788

List of positive integer factors of 30788 that divides 30788 without a remainder.

1, 2, 4, 43, 86, 172, 179, 358, 716, 7697, 15394

Step-4: Factors of 30797

List of positive integer factors of 30797 that divides 30788 without a remainder.

1, 13, 23, 103, 299, 1339, 2369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30788 and 30797. The biggest common factor number is the GCF number.
So the greatest common factor 30788 and 30797 is 1.

Also check out the Least Common Multiple of 30788 and 30797