What is the Greatest Common Factor of 86721 and 86733?

Greatest common factor (GCF) of 86721 and 86733 is 3.

GCF(86721,86733) = 3

We will now calculate the prime factors of 86721 and 86733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86721 and 86733.

How to find the GCF of 86721 and 86733?

We will first find the prime factorization of 86721 and 86733. After we will calculate the factors of 86721 and 86733 and find the biggest common factor number .

Step-1: Prime Factorization of 86721

Prime factors of 86721 are 3, 137, 211. Prime factorization of 86721 in exponential form is:

86721 = 3¹ × 137¹ × 211¹

Step-2: Prime Factorization of 86733

Prime factors of 86733 are 3, 23, 419. Prime factorization of 86733 in exponential form is:

86733 = 3² × 23¹ × 419¹

Step-3: Factors of 86721

List of positive integer factors of 86721 that divides 86721 without a remainder.

1, 3, 137, 211, 411, 633, 28907

Step-4: Factors of 86733

List of positive integer factors of 86733 that divides 86721 without a remainder.

1, 3, 9, 23, 69, 207, 419, 1257, 3771, 9637, 28911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86721 and 86733. The biggest common factor number is the GCF number.
So the greatest common factor 86721 and 86733 is 3.

Also check out the Least Common Multiple of 86721 and 86733