What is the Greatest Common Factor of 86064 and 86075?

Greatest common factor (GCF) of 86064 and 86075 is 11.

GCF(86064,86075) = 11

We will now calculate the prime factors of 86064 and 86075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86064 and 86075.

How to find the GCF of 86064 and 86075?

We will first find the prime factorization of 86064 and 86075. After we will calculate the factors of 86064 and 86075 and find the biggest common factor number .

Step-1: Prime Factorization of 86064

Prime factors of 86064 are 2, 3, 11, 163. Prime factorization of 86064 in exponential form is:

86064 = 2⁴ × 3¹ × 11¹ × 163¹

Step-2: Prime Factorization of 86075

Prime factors of 86075 are 5, 11, 313. Prime factorization of 86075 in exponential form is:

86075 = 5² × 11¹ × 313¹

Step-3: Factors of 86064

List of positive integer factors of 86064 that divides 86064 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 163, 176, 264, 326, 489, 528, 652, 978, 1304, 1793, 1956, 2608, 3586, 3912, 5379, 7172, 7824, 10758, 14344, 21516, 28688, 43032

Step-4: Factors of 86075

List of positive integer factors of 86075 that divides 86064 without a remainder.

1, 5, 11, 25, 55, 275, 313, 1565, 3443, 7825, 17215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86064 and 86075. The biggest common factor number is the GCF number.
So the greatest common factor 86064 and 86075 is 11.

Also check out the Least Common Multiple of 86064 and 86075