What is the Greatest Common Factor of 86716 and 86734?

Greatest common factor (GCF) of 86716 and 86734 is 2.

GCF(86716,86734) = 2

We will now calculate the prime factors of 86716 and 86734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86716 and 86734.

How to find the GCF of 86716 and 86734?

We will first find the prime factorization of 86716 and 86734. After we will calculate the factors of 86716 and 86734 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86734

Prime factors of 86734 are 2, 17, 2551. Prime factorization of 86734 in exponential form is:

86734 = 2¹ × 17¹ × 2551¹

Step-3: Factors of 86716

List of positive integer factors of 86716 that divides 86716 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

Step-4: Factors of 86734

List of positive integer factors of 86734 that divides 86716 without a remainder.

1, 2, 17, 34, 2551, 5102, 43367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86716 and 86734. The biggest common factor number is the GCF number.
So the greatest common factor 86716 and 86734 is 2.

Also check out the Least Common Multiple of 86716 and 86734