What is the Greatest Common Factor of 86324 and 86340?

Greatest common factor (GCF) of 86324 and 86340 is 4.

GCF(86324,86340) = 4

We will now calculate the prime factors of 86324 and 86340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86324 and 86340.

How to find the GCF of 86324 and 86340?

We will first find the prime factorization of 86324 and 86340. After we will calculate the factors of 86324 and 86340 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 86340

Prime factors of 86340 are 2, 3, 5, 1439. Prime factorization of 86340 in exponential form is:

86340 = 2² × 3¹ × 5¹ × 1439¹

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 86340

List of positive integer factors of 86340 that divides 86324 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1439, 2878, 4317, 5756, 7195, 8634, 14390, 17268, 21585, 28780, 43170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86324 and 86340. The biggest common factor number is the GCF number.
So the greatest common factor 86324 and 86340 is 4.

Also check out the Least Common Multiple of 86324 and 86340