What is the Greatest Common Factor of 30872 and 30890?

Greatest common factor (GCF) of 30872 and 30890 is 2.

GCF(30872,30890) = 2

We will now calculate the prime factors of 30872 and 30890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30872 and 30890.

How to find the GCF of 30872 and 30890?

We will first find the prime factorization of 30872 and 30890. After we will calculate the factors of 30872 and 30890 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30890

Prime factors of 30890 are 2, 5, 3089. Prime factorization of 30890 in exponential form is:

30890 = 2¹ × 5¹ × 3089¹

Step-3: Factors of 30872

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

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

Step-4: Factors of 30890

List of positive integer factors of 30890 that divides 30872 without a remainder.

1, 2, 5, 10, 3089, 6178, 15445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30872 and 30890. The biggest common factor number is the GCF number.
So the greatest common factor 30872 and 30890 is 2.

Also check out the Least Common Multiple of 30872 and 30890