What is the Greatest Common Factor of 86320 and 86327?

Greatest common factor (GCF) of 86320 and 86327 is 1.

GCF(86320,86327) = 1

We will now calculate the prime factors of 86320 and 86327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86320 and 86327.

How to find the GCF of 86320 and 86327?

We will first find the prime factorization of 86320 and 86327. After we will calculate the factors of 86320 and 86327 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 86327

Prime factors of 86327 are 173, 499. Prime factorization of 86327 in exponential form is:

86327 = 173¹ × 499¹

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 86327

List of positive integer factors of 86327 that divides 86320 without a remainder.

1, 173, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86320 and 86327. The biggest common factor number is the GCF number.
So the greatest common factor 86320 and 86327 is 1.

Also check out the Least Common Multiple of 86320 and 86327