What is the Greatest Common Factor of 86698 and 86716?

Greatest common factor (GCF) of 86698 and 86716 is 2.

GCF(86698,86716) = 2

We will now calculate the prime factors of 86698 and 86716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86698 and 86716.

How to find the GCF of 86698 and 86716?

We will first find the prime factorization of 86698 and 86716. After we will calculate the factors of 86698 and 86716 and find the biggest common factor number .

Step-1: Prime Factorization of 86698

Prime factors of 86698 are 2, 67, 647. Prime factorization of 86698 in exponential form is:

86698 = 2¹ × 67¹ × 647¹

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 86698

List of positive integer factors of 86698 that divides 86698 without a remainder.

1, 2, 67, 134, 647, 1294, 43349

Step-4: Factors of 86716

List of positive integer factors of 86716 that divides 86698 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 86698 and 86716. The biggest common factor number is the GCF number.
So the greatest common factor 86698 and 86716 is 2.

Also check out the Least Common Multiple of 86698 and 86716