What is the Greatest Common Factor of 8648 and 8667?

Greatest common factor (GCF) of 8648 and 8667 is 1.

GCF(8648,8667) = 1

We will now calculate the prime factors of 8648 and 8667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8648 and 8667.

How to find the GCF of 8648 and 8667?

We will first find the prime factorization of 8648 and 8667. After we will calculate the factors of 8648 and 8667 and find the biggest common factor number .

Step-1: Prime Factorization of 8648

Prime factors of 8648 are 2, 23, 47. Prime factorization of 8648 in exponential form is:

8648 = 2³ × 23¹ × 47¹

Step-2: Prime Factorization of 8667

Prime factors of 8667 are 3, 107. Prime factorization of 8667 in exponential form is:

8667 = 3⁴ × 107¹

Step-3: Factors of 8648

List of positive integer factors of 8648 that divides 8648 without a remainder.

1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324

Step-4: Factors of 8667

List of positive integer factors of 8667 that divides 8648 without a remainder.

1, 3, 9, 27, 81, 107, 321, 963, 2889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8648 and 8667. The biggest common factor number is the GCF number.
So the greatest common factor 8648 and 8667 is 1.

Also check out the Least Common Multiple of 8648 and 8667