What is the Greatest Common Factor of 86044 and 86064?

Greatest common factor (GCF) of 86044 and 86064 is 4.

GCF(86044,86064) = 4

We will now calculate the prime factors of 86044 and 86064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86044 and 86064.

How to find the GCF of 86044 and 86064?

We will first find the prime factorization of 86044 and 86064. After we will calculate the factors of 86044 and 86064 and find the biggest common factor number .

Step-1: Prime Factorization of 86044

Prime factors of 86044 are 2, 7, 439. Prime factorization of 86044 in exponential form is:

86044 = 2² × 7² × 439¹

Step-2: 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-3: Factors of 86044

List of positive integer factors of 86044 that divides 86044 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 439, 878, 1756, 3073, 6146, 12292, 21511, 43022

Step-4: Factors of 86064

List of positive integer factors of 86064 that divides 86044 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86044 and 86064. The biggest common factor number is the GCF number.
So the greatest common factor 86044 and 86064 is 4.

Also check out the Least Common Multiple of 86044 and 86064