What is the Greatest Common Factor of 8914 and 8934?

Greatest common factor (GCF) of 8914 and 8934 is 2.

GCF(8914,8934) = 2

We will now calculate the prime factors of 8914 and 8934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8914 and 8934.

How to find the GCF of 8914 and 8934?

We will first find the prime factorization of 8914 and 8934. After we will calculate the factors of 8914 and 8934 and find the biggest common factor number .

Step-1: Prime Factorization of 8914

Prime factors of 8914 are 2, 4457. Prime factorization of 8914 in exponential form is:

8914 = 2¹ × 4457¹

Step-2: Prime Factorization of 8934

Prime factors of 8934 are 2, 3, 1489. Prime factorization of 8934 in exponential form is:

8934 = 2¹ × 3¹ × 1489¹

Step-3: Factors of 8914

List of positive integer factors of 8914 that divides 8914 without a remainder.

1, 2, 4457

Step-4: Factors of 8934

List of positive integer factors of 8934 that divides 8914 without a remainder.

1, 2, 3, 6, 1489, 2978, 4467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8914 and 8934. The biggest common factor number is the GCF number.
So the greatest common factor 8914 and 8934 is 2.

Also check out the Least Common Multiple of 8914 and 8934