What is the Greatest Common Factor of 30758 and 30771?

Greatest common factor (GCF) of 30758 and 30771 is 13.

GCF(30758,30771) = 13

We will now calculate the prime factors of 30758 and 30771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30758 and 30771.

How to find the GCF of 30758 and 30771?

We will first find the prime factorization of 30758 and 30771. After we will calculate the factors of 30758 and 30771 and find the biggest common factor number .

Step-1: Prime Factorization of 30758

Prime factors of 30758 are 2, 7, 13. Prime factorization of 30758 in exponential form is:

30758 = 2¹ × 7¹ × 13³

Step-2: Prime Factorization of 30771

Prime factors of 30771 are 3, 13, 263. Prime factorization of 30771 in exponential form is:

30771 = 3² × 13¹ × 263¹

Step-3: Factors of 30758

List of positive integer factors of 30758 that divides 30758 without a remainder.

1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183, 2197, 2366, 4394, 15379

Step-4: Factors of 30771

List of positive integer factors of 30771 that divides 30758 without a remainder.

1, 3, 9, 13, 39, 117, 263, 789, 2367, 3419, 10257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30758 and 30771. The biggest common factor number is the GCF number.
So the greatest common factor 30758 and 30771 is 13.

Also check out the Least Common Multiple of 30758 and 30771