What is the Greatest Common Factor of 8561 and 8575?

Greatest common factor (GCF) of 8561 and 8575 is 7.

GCF(8561,8575) = 7

We will now calculate the prime factors of 8561 and 8575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8561 and 8575.

How to find the GCF of 8561 and 8575?

We will first find the prime factorization of 8561 and 8575. After we will calculate the factors of 8561 and 8575 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 8575

Prime factors of 8575 are 5, 7. Prime factorization of 8575 in exponential form is:

8575 = 5² × 7³

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 8575

List of positive integer factors of 8575 that divides 8561 without a remainder.

1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8561 and 8575. The biggest common factor number is the GCF number.
So the greatest common factor 8561 and 8575 is 7.

Also check out the Least Common Multiple of 8561 and 8575