What is the Greatest Common Factor of 86664 and 86673?

Greatest common factor (GCF) of 86664 and 86673 is 3.

GCF(86664,86673) = 3

We will now calculate the prime factors of 86664 and 86673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86664 and 86673.

How to find the GCF of 86664 and 86673?

We will first find the prime factorization of 86664 and 86673. After we will calculate the factors of 86664 and 86673 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 86673

Prime factors of 86673 are 3, 167, 173. Prime factorization of 86673 in exponential form is:

86673 = 3¹ × 167¹ × 173¹

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 86673

List of positive integer factors of 86673 that divides 86664 without a remainder.

1, 3, 167, 173, 501, 519, 28891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86664 and 86673. The biggest common factor number is the GCF number.
So the greatest common factor 86664 and 86673 is 3.

Also check out the Least Common Multiple of 86664 and 86673