What is the Greatest Common Factor of 30814 and 30829?

Greatest common factor (GCF) of 30814 and 30829 is 1.

GCF(30814,30829) = 1

We will now calculate the prime factors of 30814 and 30829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30814 and 30829.

How to find the GCF of 30814 and 30829?

We will first find the prime factorization of 30814 and 30829. After we will calculate the factors of 30814 and 30829 and find the biggest common factor number .

Step-1: Prime Factorization of 30814

Prime factors of 30814 are 2, 7, 31, 71. Prime factorization of 30814 in exponential form is:

30814 = 2¹ × 7¹ × 31¹ × 71¹

Step-2: Prime Factorization of 30829

Prime factors of 30829 are 30829. Prime factorization of 30829 in exponential form is:

30829 = 30829¹

Step-3: Factors of 30814

List of positive integer factors of 30814 that divides 30814 without a remainder.

1, 2, 7, 14, 31, 62, 71, 142, 217, 434, 497, 994, 2201, 4402, 15407

Step-4: Factors of 30829

List of positive integer factors of 30829 that divides 30814 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30814 and 30829. The biggest common factor number is the GCF number.
So the greatest common factor 30814 and 30829 is 1.

Also check out the Least Common Multiple of 30814 and 30829