What is the Greatest Common Factor of 87704 and 87718?

Greatest common factor (GCF) of 87704 and 87718 is 2.

GCF(87704,87718) = 2

We will now calculate the prime factors of 87704 and 87718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87704 and 87718.

How to find the GCF of 87704 and 87718?

We will first find the prime factorization of 87704 and 87718. After we will calculate the factors of 87704 and 87718 and find the biggest common factor number .

Step-1: Prime Factorization of 87704

Prime factors of 87704 are 2, 19, 577. Prime factorization of 87704 in exponential form is:

87704 = 2³ × 19¹ × 577¹

Step-2: Prime Factorization of 87718

Prime factors of 87718 are 2, 61, 719. Prime factorization of 87718 in exponential form is:

87718 = 2¹ × 61¹ × 719¹

Step-3: Factors of 87704

List of positive integer factors of 87704 that divides 87704 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 577, 1154, 2308, 4616, 10963, 21926, 43852

Step-4: Factors of 87718

List of positive integer factors of 87718 that divides 87704 without a remainder.

1, 2, 61, 122, 719, 1438, 43859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87704 and 87718. The biggest common factor number is the GCF number.
So the greatest common factor 87704 and 87718 is 2.

Also check out the Least Common Multiple of 87704 and 87718