What is the Greatest Common Factor of 86320 and 86326?

Greatest common factor (GCF) of 86320 and 86326 is 2.

GCF(86320,86326) = 2

We will now calculate the prime factors of 86320 and 86326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86320 and 86326.

How to find the GCF of 86320 and 86326?

We will first find the prime factorization of 86320 and 86326. After we will calculate the factors of 86320 and 86326 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 86326

Prime factors of 86326 are 2, 17, 2539. Prime factorization of 86326 in exponential form is:

86326 = 2¹ × 17¹ × 2539¹

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 86326

List of positive integer factors of 86326 that divides 86320 without a remainder.

1, 2, 17, 34, 2539, 5078, 43163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86320 and 86326. The biggest common factor number is the GCF number.
So the greatest common factor 86320 and 86326 is 2.

Also check out the Least Common Multiple of 86320 and 86326