What is the Greatest Common Factor of 86324 and 86331?

Greatest common factor (GCF) of 86324 and 86331 is 7.

GCF(86324,86331) = 7

We will now calculate the prime factors of 86324 and 86331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86324 and 86331.

How to find the GCF of 86324 and 86331?

We will first find the prime factorization of 86324 and 86331. After we will calculate the factors of 86324 and 86331 and find the biggest common factor number .

Step-1: Prime Factorization of 86324

Prime factors of 86324 are 2, 7, 3083. Prime factorization of 86324 in exponential form is:

86324 = 2² × 7¹ × 3083¹

Step-2: Prime Factorization of 86331

Prime factors of 86331 are 3, 7, 4111. Prime factorization of 86331 in exponential form is:

86331 = 3¹ × 7¹ × 4111¹

Step-3: Factors of 86324

List of positive integer factors of 86324 that divides 86324 without a remainder.

1, 2, 4, 7, 14, 28, 3083, 6166, 12332, 21581, 43162

Step-4: Factors of 86331

List of positive integer factors of 86331 that divides 86324 without a remainder.

1, 3, 7, 21, 4111, 12333, 28777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86324 and 86331. The biggest common factor number is the GCF number.
So the greatest common factor 86324 and 86331 is 7.

Also check out the Least Common Multiple of 86324 and 86331