What is the Greatest Common Factor of 8651 and 8669?

Greatest common factor (GCF) of 8651 and 8669 is 1.

GCF(8651,8669) = 1

We will now calculate the prime factors of 8651 and 8669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8651 and 8669.

How to find the GCF of 8651 and 8669?

We will first find the prime factorization of 8651 and 8669. After we will calculate the factors of 8651 and 8669 and find the biggest common factor number .

Step-1: Prime Factorization of 8651

Prime factors of 8651 are 41, 211. Prime factorization of 8651 in exponential form is:

8651 = 41¹ × 211¹

Step-2: Prime Factorization of 8669

Prime factors of 8669 are 8669. Prime factorization of 8669 in exponential form is:

8669 = 8669¹

Step-3: Factors of 8651

List of positive integer factors of 8651 that divides 8651 without a remainder.

1, 41, 211

Step-4: Factors of 8669

List of positive integer factors of 8669 that divides 8651 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8651 and 8669. The biggest common factor number is the GCF number.
So the greatest common factor 8651 and 8669 is 1.

Also check out the Least Common Multiple of 8651 and 8669