What is the Greatest Common Factor of 8561 and 8567?

Greatest common factor (GCF) of 8561 and 8567 is 1.

GCF(8561,8567) = 1

We will now calculate the prime factors of 8561 and 8567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8561 and 8567.

How to find the GCF of 8561 and 8567?

We will first find the prime factorization of 8561 and 8567. After we will calculate the factors of 8561 and 8567 and find the biggest common factor number .

Step-1: Prime Factorization of 8561

Prime factors of 8561 are 7, 1223. Prime factorization of 8561 in exponential form is:

8561 = 7¹ × 1223¹

Step-2: Prime Factorization of 8567

Prime factors of 8567 are 13, 659. Prime factorization of 8567 in exponential form is:

8567 = 13¹ × 659¹

Step-3: Factors of 8561

List of positive integer factors of 8561 that divides 8561 without a remainder.

1, 7, 1223

Step-4: Factors of 8567

List of positive integer factors of 8567 that divides 8561 without a remainder.

1, 13, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8561 and 8567. The biggest common factor number is the GCF number.
So the greatest common factor 8561 and 8567 is 1.

Also check out the Least Common Multiple of 8561 and 8567