What is the Greatest Common Factor of 86324 and 86338?

Greatest common factor (GCF) of 86324 and 86338 is 14.

GCF(86324,86338) = 14

We will now calculate the prime factors of 86324 and 86338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86324 and 86338.

How to find the GCF of 86324 and 86338?

We will first find the prime factorization of 86324 and 86338. After we will calculate the factors of 86324 and 86338 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 86338

Prime factors of 86338 are 2, 7, 881. Prime factorization of 86338 in exponential form is:

86338 = 2¹ × 7² × 881¹

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 86338

List of positive integer factors of 86338 that divides 86324 without a remainder.

1, 2, 7, 14, 49, 98, 881, 1762, 6167, 12334, 43169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86324 and 86338. The biggest common factor number is the GCF number.
So the greatest common factor 86324 and 86338 is 14.

Also check out the Least Common Multiple of 86324 and 86338