What is the Greatest Common Factor of 86325 and 86334?

Greatest common factor (GCF) of 86325 and 86334 is 3.

GCF(86325,86334) = 3

We will now calculate the prime factors of 86325 and 86334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86325 and 86334.

How to find the GCF of 86325 and 86334?

We will first find the prime factorization of 86325 and 86334. After we will calculate the factors of 86325 and 86334 and find the biggest common factor number .

Step-1: Prime Factorization of 86325

Prime factors of 86325 are 3, 5, 1151. Prime factorization of 86325 in exponential form is:

86325 = 3¹ × 5² × 1151¹

Step-2: Prime Factorization of 86334

Prime factors of 86334 are 2, 3, 14389. Prime factorization of 86334 in exponential form is:

86334 = 2¹ × 3¹ × 14389¹

Step-3: Factors of 86325

List of positive integer factors of 86325 that divides 86325 without a remainder.

1, 3, 5, 15, 25, 75, 1151, 3453, 5755, 17265, 28775

Step-4: Factors of 86334

List of positive integer factors of 86334 that divides 86325 without a remainder.

1, 2, 3, 6, 14389, 28778, 43167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86325 and 86334. The biggest common factor number is the GCF number.
So the greatest common factor 86325 and 86334 is 3.

Also check out the Least Common Multiple of 86325 and 86334