What is the Greatest Common Factor of 86320 and 86329?

Greatest common factor (GCF) of 86320 and 86329 is 1.

GCF(86320,86329) = 1

We will now calculate the prime factors of 86320 and 86329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86320 and 86329.

How to find the GCF of 86320 and 86329?

We will first find the prime factorization of 86320 and 86329. After we will calculate the factors of 86320 and 86329 and find the biggest common factor number .

Step-1: Prime Factorization of 86320

Prime factors of 86320 are 2, 5, 13, 83. Prime factorization of 86320 in exponential form is:

86320 = 2⁴ × 5¹ × 13¹ × 83¹

Step-2: Prime Factorization of 86329

Prime factors of 86329 are 131, 659. Prime factorization of 86329 in exponential form is:

86329 = 131¹ × 659¹

Step-3: Factors of 86320

List of positive integer factors of 86320 that divides 86320 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 83, 104, 130, 166, 208, 260, 332, 415, 520, 664, 830, 1040, 1079, 1328, 1660, 2158, 3320, 4316, 5395, 6640, 8632, 10790, 17264, 21580, 43160

Step-4: Factors of 86329

List of positive integer factors of 86329 that divides 86320 without a remainder.

1, 131, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86320 and 86329. The biggest common factor number is the GCF number.
So the greatest common factor 86320 and 86329 is 1.

Also check out the Least Common Multiple of 86320 and 86329