What is the Greatest Common Factor of 86144 and 86160?

Greatest common factor (GCF) of 86144 and 86160 is 16.

GCF(86144,86160) = 16

We will now calculate the prime factors of 86144 and 86160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86144 and 86160.

How to find the GCF of 86144 and 86160?

We will first find the prime factorization of 86144 and 86160. After we will calculate the factors of 86144 and 86160 and find the biggest common factor number .

Step-1: Prime Factorization of 86144

Prime factors of 86144 are 2, 673. Prime factorization of 86144 in exponential form is:

86144 = 2⁷ × 673¹

Step-2: Prime Factorization of 86160

Prime factors of 86160 are 2, 3, 5, 359. Prime factorization of 86160 in exponential form is:

86160 = 2⁴ × 3¹ × 5¹ × 359¹

Step-3: Factors of 86144

List of positive integer factors of 86144 that divides 86144 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 673, 1346, 2692, 5384, 10768, 21536, 43072

Step-4: Factors of 86160

List of positive integer factors of 86160 that divides 86144 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 359, 718, 1077, 1436, 1795, 2154, 2872, 3590, 4308, 5385, 5744, 7180, 8616, 10770, 14360, 17232, 21540, 28720, 43080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86144 and 86160. The biggest common factor number is the GCF number.
So the greatest common factor 86144 and 86160 is 16.

Also check out the Least Common Multiple of 86144 and 86160