What is the Greatest Common Factor of 8715 and 8724?

Greatest common factor (GCF) of 8715 and 8724 is 3.

GCF(8715,8724) = 3

We will now calculate the prime factors of 8715 and 8724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8715 and 8724.

How to find the GCF of 8715 and 8724?

We will first find the prime factorization of 8715 and 8724. After we will calculate the factors of 8715 and 8724 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 8724

Prime factors of 8724 are 2, 3, 727. Prime factorization of 8724 in exponential form is:

8724 = 2² × 3¹ × 727¹

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 8724

List of positive integer factors of 8724 that divides 8715 without a remainder.

1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8715 and 8724. The biggest common factor number is the GCF number.
So the greatest common factor 8715 and 8724 is 3.

Also check out the Least Common Multiple of 8715 and 8724