What is the Greatest Common Factor of 8914 and 8923?

Greatest common factor (GCF) of 8914 and 8923 is 1.

GCF(8914,8923) = 1

We will now calculate the prime factors of 8914 and 8923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8914 and 8923.

How to find the GCF of 8914 and 8923?

We will first find the prime factorization of 8914 and 8923. After we will calculate the factors of 8914 and 8923 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 8923

Prime factors of 8923 are 8923. Prime factorization of 8923 in exponential form is:

8923 = 8923¹

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 8923

List of positive integer factors of 8923 that divides 8914 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8914 and 8923. The biggest common factor number is the GCF number.
So the greatest common factor 8914 and 8923 is 1.

Also check out the Least Common Multiple of 8914 and 8923