What is the Greatest Common Factor of 30862 and 30872?

Greatest common factor (GCF) of 30862 and 30872 is 2.

GCF(30862,30872) = 2

We will now calculate the prime factors of 30862 and 30872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30862 and 30872.

How to find the GCF of 30862 and 30872?

We will first find the prime factorization of 30862 and 30872. After we will calculate the factors of 30862 and 30872 and find the biggest common factor number .

Step-1: Prime Factorization of 30862

Prime factors of 30862 are 2, 13, 1187. Prime factorization of 30862 in exponential form is:

30862 = 2¹ × 13¹ × 1187¹

Step-2: Prime Factorization of 30872

Prime factors of 30872 are 2, 17, 227. Prime factorization of 30872 in exponential form is:

30872 = 2³ × 17¹ × 227¹

Step-3: Factors of 30862

List of positive integer factors of 30862 that divides 30862 without a remainder.

1, 2, 13, 26, 1187, 2374, 15431

Step-4: Factors of 30872

List of positive integer factors of 30872 that divides 30862 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 227, 454, 908, 1816, 3859, 7718, 15436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30862 and 30872. The biggest common factor number is the GCF number.
So the greatest common factor 30862 and 30872 is 2.

Also check out the Least Common Multiple of 30862 and 30872