What is the Greatest Common Factor of 8701 and 8713?

Greatest common factor (GCF) of 8701 and 8713 is 1.

GCF(8701,8713) = 1

We will now calculate the prime factors of 8701 and 8713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8701 and 8713.

How to find the GCF of 8701 and 8713?

We will first find the prime factorization of 8701 and 8713. After we will calculate the factors of 8701 and 8713 and find the biggest common factor number .

Step-1: Prime Factorization of 8701

Prime factors of 8701 are 7, 11, 113. Prime factorization of 8701 in exponential form is:

8701 = 7¹ × 11¹ × 113¹

Step-2: Prime Factorization of 8713

Prime factors of 8713 are 8713. Prime factorization of 8713 in exponential form is:

8713 = 8713¹

Step-3: Factors of 8701

List of positive integer factors of 8701 that divides 8701 without a remainder.

1, 7, 11, 77, 113, 791, 1243

Step-4: Factors of 8713

List of positive integer factors of 8713 that divides 8701 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8701 and 8713. The biggest common factor number is the GCF number.
So the greatest common factor 8701 and 8713 is 1.

Also check out the Least Common Multiple of 8701 and 8713