What is the Greatest Common Factor of 8641 and 8648?

Greatest common factor (GCF) of 8641 and 8648 is 1.

GCF(8641,8648) = 1

We will now calculate the prime factors of 8641 and 8648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8641 and 8648.

How to find the GCF of 8641 and 8648?

We will first find the prime factorization of 8641 and 8648. After we will calculate the factors of 8641 and 8648 and find the biggest common factor number .

Step-1: Prime Factorization of 8641

Prime factors of 8641 are 8641. Prime factorization of 8641 in exponential form is:

8641 = 8641¹

Step-2: 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-3: Factors of 8641

List of positive integer factors of 8641 that divides 8641 without a remainder.

Step-4: Factors of 8648

List of positive integer factors of 8648 that divides 8641 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8641 and 8648. The biggest common factor number is the GCF number.
So the greatest common factor 8641 and 8648 is 1.

Also check out the Least Common Multiple of 8641 and 8648