What is the Greatest Common Factor of 8705 and 8725?

Greatest common factor (GCF) of 8705 and 8725 is 5.

GCF(8705,8725) = 5

We will now calculate the prime factors of 8705 and 8725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8705 and 8725.

How to find the GCF of 8705 and 8725?

We will first find the prime factorization of 8705 and 8725. After we will calculate the factors of 8705 and 8725 and find the biggest common factor number .

Step-1: Prime Factorization of 8705

Prime factors of 8705 are 5, 1741. Prime factorization of 8705 in exponential form is:

8705 = 5¹ × 1741¹

Step-2: Prime Factorization of 8725

Prime factors of 8725 are 5, 349. Prime factorization of 8725 in exponential form is:

8725 = 5² × 349¹

Step-3: Factors of 8705

List of positive integer factors of 8705 that divides 8705 without a remainder.

1, 5, 1741

Step-4: Factors of 8725

List of positive integer factors of 8725 that divides 8705 without a remainder.

1, 5, 25, 349, 1745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8705 and 8725. The biggest common factor number is the GCF number.
So the greatest common factor 8705 and 8725 is 5.

Also check out the Least Common Multiple of 8705 and 8725