What is the Greatest Common Factor of 86709 and 86716?

Greatest common factor (GCF) of 86709 and 86716 is 7.

GCF(86709,86716) = 7

We will now calculate the prime factors of 86709 and 86716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86709 and 86716.

How to find the GCF of 86709 and 86716?

We will first find the prime factorization of 86709 and 86716. After we will calculate the factors of 86709 and 86716 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86716

Prime factors of 86716 are 2, 7, 19, 163. Prime factorization of 86716 in exponential form is:

86716 = 2² × 7¹ × 19¹ × 163¹

Step-3: Factors of 86709

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

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

Step-4: Factors of 86716

List of positive integer factors of 86716 that divides 86709 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 163, 266, 326, 532, 652, 1141, 2282, 3097, 4564, 6194, 12388, 21679, 43358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86709 and 86716. The biggest common factor number is the GCF number.
So the greatest common factor 86709 and 86716 is 7.

Also check out the Least Common Multiple of 86709 and 86716