What is the Greatest Common Factor of 86704 and 86709?

Greatest common factor (GCF) of 86704 and 86709 is 1.

GCF(86704,86709) = 1

We will now calculate the prime factors of 86704 and 86709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86704 and 86709.

How to find the GCF of 86704 and 86709?

We will first find the prime factorization of 86704 and 86709. After we will calculate the factors of 86704 and 86709 and find the biggest common factor number .

Step-1: Prime Factorization of 86704

Prime factors of 86704 are 2, 5419. Prime factorization of 86704 in exponential form is:

86704 = 2⁴ × 5419¹

Step-2: Prime Factorization of 86709

Prime factors of 86709 are 3, 7, 4129. Prime factorization of 86709 in exponential form is:

86709 = 3¹ × 7¹ × 4129¹

Step-3: Factors of 86704

List of positive integer factors of 86704 that divides 86704 without a remainder.

1, 2, 4, 8, 16, 5419, 10838, 21676, 43352

Step-4: Factors of 86709

List of positive integer factors of 86709 that divides 86704 without a remainder.

1, 3, 7, 21, 4129, 12387, 28903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86704 and 86709. The biggest common factor number is the GCF number.
So the greatest common factor 86704 and 86709 is 1.

Also check out the Least Common Multiple of 86704 and 86709