What is the Greatest Common Factor of 87002 and 87008?

Greatest common factor (GCF) of 87002 and 87008 is 2.

GCF(87002,87008) = 2

We will now calculate the prime factors of 87002 and 87008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87002 and 87008.

How to find the GCF of 87002 and 87008?

We will first find the prime factorization of 87002 and 87008. After we will calculate the factors of 87002 and 87008 and find the biggest common factor number .

Step-1: Prime Factorization of 87002

Prime factors of 87002 are 2, 41, 1061. Prime factorization of 87002 in exponential form is:

87002 = 2¹ × 41¹ × 1061¹

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 87002

List of positive integer factors of 87002 that divides 87002 without a remainder.

1, 2, 41, 82, 1061, 2122, 43501

Step-4: Factors of 87008

List of positive integer factors of 87008 that divides 87002 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 87002 and 87008. The biggest common factor number is the GCF number.
So the greatest common factor 87002 and 87008 is 2.

Also check out the Least Common Multiple of 87002 and 87008