What is the Greatest Common Factor of 30806 and 30820?

Greatest common factor (GCF) of 30806 and 30820 is 2.

GCF(30806,30820) = 2

We will now calculate the prime factors of 30806 and 30820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30806 and 30820.

How to find the GCF of 30806 and 30820?

We will first find the prime factorization of 30806 and 30820. After we will calculate the factors of 30806 and 30820 and find the biggest common factor number .

Step-1: Prime Factorization of 30806

Prime factors of 30806 are 2, 73, 211. Prime factorization of 30806 in exponential form is:

30806 = 2¹ × 73¹ × 211¹

Step-2: Prime Factorization of 30820

Prime factors of 30820 are 2, 5, 23, 67. Prime factorization of 30820 in exponential form is:

30820 = 2² × 5¹ × 23¹ × 67¹

Step-3: Factors of 30806

List of positive integer factors of 30806 that divides 30806 without a remainder.

1, 2, 73, 146, 211, 422, 15403

Step-4: Factors of 30820

List of positive integer factors of 30820 that divides 30806 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 67, 92, 115, 134, 230, 268, 335, 460, 670, 1340, 1541, 3082, 6164, 7705, 15410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30806 and 30820. The biggest common factor number is the GCF number.
So the greatest common factor 30806 and 30820 is 2.

Also check out the Least Common Multiple of 30806 and 30820