What is the Greatest Common Factor of 8715 and 8735?

Greatest common factor (GCF) of 8715 and 8735 is 5.

GCF(8715,8735) = 5

We will now calculate the prime factors of 8715 and 8735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8715 and 8735.

How to find the GCF of 8715 and 8735?

We will first find the prime factorization of 8715 and 8735. After we will calculate the factors of 8715 and 8735 and find the biggest common factor number .

Step-1: Prime Factorization of 8715

Prime factors of 8715 are 3, 5, 7, 83. Prime factorization of 8715 in exponential form is:

8715 = 3¹ × 5¹ × 7¹ × 83¹

Step-2: Prime Factorization of 8735

Prime factors of 8735 are 5, 1747. Prime factorization of 8735 in exponential form is:

8735 = 5¹ × 1747¹

Step-3: Factors of 8715

List of positive integer factors of 8715 that divides 8715 without a remainder.

1, 3, 5, 7, 15, 21, 35, 83, 105, 249, 415, 581, 1245, 1743, 2905

Step-4: Factors of 8735

List of positive integer factors of 8735 that divides 8715 without a remainder.

1, 5, 1747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8715 and 8735. The biggest common factor number is the GCF number.
So the greatest common factor 8715 and 8735 is 5.

Also check out the Least Common Multiple of 8715 and 8735