What is the Greatest Common Factor of 87704 and 87714?

Greatest common factor (GCF) of 87704 and 87714 is 2.

GCF(87704,87714) = 2

We will now calculate the prime factors of 87704 and 87714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87704 and 87714.

How to find the GCF of 87704 and 87714?

We will first find the prime factorization of 87704 and 87714. After we will calculate the factors of 87704 and 87714 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 87714

Prime factors of 87714 are 2, 3, 11, 443. Prime factorization of 87714 in exponential form is:

87714 = 2¹ × 3² × 11¹ × 443¹

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 87714

List of positive integer factors of 87714 that divides 87704 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 443, 886, 1329, 2658, 3987, 4873, 7974, 9746, 14619, 29238, 43857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87704 and 87714. The biggest common factor number is the GCF number.
So the greatest common factor 87704 and 87714 is 2.

Also check out the Least Common Multiple of 87704 and 87714