What is the Greatest Common Factor of 86992 and 87008?

Greatest common factor (GCF) of 86992 and 87008 is 16.

GCF(86992,87008) = 16

We will now calculate the prime factors of 86992 and 87008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86992 and 87008.

How to find the GCF of 86992 and 87008?

We will first find the prime factorization of 86992 and 87008. After we will calculate the factors of 86992 and 87008 and find the biggest common factor number .

Step-1: Prime Factorization of 86992

Prime factors of 86992 are 2, 5437. Prime factorization of 86992 in exponential form is:

86992 = 2⁴ × 5437¹

Step-2: Prime Factorization of 87008

Prime factors of 87008 are 2, 2719. Prime factorization of 87008 in exponential form is:

87008 = 2⁵ × 2719¹

Step-3: Factors of 86992

List of positive integer factors of 86992 that divides 86992 without a remainder.

1, 2, 4, 8, 16, 5437, 10874, 21748, 43496

Step-4: Factors of 87008

List of positive integer factors of 87008 that divides 86992 without a remainder.

1, 2, 4, 8, 16, 32, 2719, 5438, 10876, 21752, 43504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86992 and 87008. The biggest common factor number is the GCF number.
So the greatest common factor 86992 and 87008 is 16.

Also check out the Least Common Multiple of 86992 and 87008