What is the Greatest Common Factor of 87714 and 87718?

Greatest common factor (GCF) of 87714 and 87718 is 2.

GCF(87714,87718) = 2

We will now calculate the prime factors of 87714 and 87718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87714 and 87718.

How to find the GCF of 87714 and 87718?

We will first find the prime factorization of 87714 and 87718. After we will calculate the factors of 87714 and 87718 and find the biggest common factor number .

Step-1: 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-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 87714

List of positive integer factors of 87714 that divides 87714 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

Step-4: Factors of 87718

List of positive integer factors of 87718 that divides 87714 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87714 and 87718. The biggest common factor number is the GCF number.
So the greatest common factor 87714 and 87718 is 2.

Also check out the Least Common Multiple of 87714 and 87718