What is the Greatest Common Factor of 30814 and 30827?

Greatest common factor (GCF) of 30814 and 30827 is 1.

GCF(30814,30827) = 1

We will now calculate the prime factors of 30814 and 30827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30814 and 30827.

How to find the GCF of 30814 and 30827?

We will first find the prime factorization of 30814 and 30827. After we will calculate the factors of 30814 and 30827 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 30827

Prime factors of 30827 are 29, 1063. Prime factorization of 30827 in exponential form is:

30827 = 29¹ × 1063¹

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 30827

List of positive integer factors of 30827 that divides 30814 without a remainder.

1, 29, 1063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30814 and 30827. The biggest common factor number is the GCF number.
So the greatest common factor 30814 and 30827 is 1.

Also check out the Least Common Multiple of 30814 and 30827