What is the Greatest Common Factor of 8930 and 8938?

Greatest common factor (GCF) of 8930 and 8938 is 2.

GCF(8930,8938) = 2

We will now calculate the prime factors of 8930 and 8938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8930 and 8938.

How to find the GCF of 8930 and 8938?

We will first find the prime factorization of 8930 and 8938. After we will calculate the factors of 8930 and 8938 and find the biggest common factor number .

Step-1: Prime Factorization of 8930

Prime factors of 8930 are 2, 5, 19, 47. Prime factorization of 8930 in exponential form is:

8930 = 2¹ × 5¹ × 19¹ × 47¹

Step-2: Prime Factorization of 8938

Prime factors of 8938 are 2, 41, 109. Prime factorization of 8938 in exponential form is:

8938 = 2¹ × 41¹ × 109¹

Step-3: Factors of 8930

List of positive integer factors of 8930 that divides 8930 without a remainder.

1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465

Step-4: Factors of 8938

List of positive integer factors of 8938 that divides 8930 without a remainder.

1, 2, 41, 82, 109, 218, 4469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8930 and 8938. The biggest common factor number is the GCF number.
So the greatest common factor 8930 and 8938 is 2.

Also check out the Least Common Multiple of 8930 and 8938