What is the Greatest Common Factor of 86916 and 86934?

Greatest common factor (GCF) of 86916 and 86934 is 6.

GCF(86916,86934) = 6

We will now calculate the prime factors of 86916 and 86934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86916 and 86934.

How to find the GCF of 86916 and 86934?

We will first find the prime factorization of 86916 and 86934. After we will calculate the factors of 86916 and 86934 and find the biggest common factor number .

Step-1: Prime Factorization of 86916

Prime factors of 86916 are 2, 3, 7243. Prime factorization of 86916 in exponential form is:

86916 = 2² × 3¹ × 7243¹

Step-2: Prime Factorization of 86934

Prime factors of 86934 are 2, 3, 14489. Prime factorization of 86934 in exponential form is:

86934 = 2¹ × 3¹ × 14489¹

Step-3: Factors of 86916

List of positive integer factors of 86916 that divides 86916 without a remainder.

1, 2, 3, 4, 6, 12, 7243, 14486, 21729, 28972, 43458

Step-4: Factors of 86934

List of positive integer factors of 86934 that divides 86916 without a remainder.

1, 2, 3, 6, 14489, 28978, 43467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86916 and 86934. The biggest common factor number is the GCF number.
So the greatest common factor 86916 and 86934 is 6.

Also check out the Least Common Multiple of 86916 and 86934