What is the Greatest Common Factor of 86664 and 86682?

Greatest common factor (GCF) of 86664 and 86682 is 6.

GCF(86664,86682) = 6

We will now calculate the prime factors of 86664 and 86682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86664 and 86682.

How to find the GCF of 86664 and 86682?

We will first find the prime factorization of 86664 and 86682. After we will calculate the factors of 86664 and 86682 and find the biggest common factor number .

Step-1: Prime Factorization of 86664

Prime factors of 86664 are 2, 3, 23, 157. Prime factorization of 86664 in exponential form is:

86664 = 2³ × 3¹ × 23¹ × 157¹

Step-2: Prime Factorization of 86682

Prime factors of 86682 are 2, 3, 14447. Prime factorization of 86682 in exponential form is:

86682 = 2¹ × 3¹ × 14447¹

Step-3: Factors of 86664

List of positive integer factors of 86664 that divides 86664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 157, 184, 276, 314, 471, 552, 628, 942, 1256, 1884, 3611, 3768, 7222, 10833, 14444, 21666, 28888, 43332

Step-4: Factors of 86682

List of positive integer factors of 86682 that divides 86664 without a remainder.

1, 2, 3, 6, 14447, 28894, 43341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86664 and 86682. The biggest common factor number is the GCF number.
So the greatest common factor 86664 and 86682 is 6.

Also check out the Least Common Multiple of 86664 and 86682