What is the Greatest Common Factor of 87866 and 87874?

Greatest common factor (GCF) of 87866 and 87874 is 2.

GCF(87866,87874) = 2

We will now calculate the prime factors of 87866 and 87874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87866 and 87874.

How to find the GCF of 87866 and 87874?

We will first find the prime factorization of 87866 and 87874. After we will calculate the factors of 87866 and 87874 and find the biggest common factor number .

Step-1: Prime Factorization of 87866

Prime factors of 87866 are 2, 43933. Prime factorization of 87866 in exponential form is:

87866 = 2¹ × 43933¹

Step-2: Prime Factorization of 87874

Prime factors of 87874 are 2, 53, 829. Prime factorization of 87874 in exponential form is:

87874 = 2¹ × 53¹ × 829¹

Step-3: Factors of 87866

List of positive integer factors of 87866 that divides 87866 without a remainder.

1, 2, 43933

Step-4: Factors of 87874

List of positive integer factors of 87874 that divides 87866 without a remainder.

1, 2, 53, 106, 829, 1658, 43937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87866 and 87874. The biggest common factor number is the GCF number.
So the greatest common factor 87866 and 87874 is 2.

Also check out the Least Common Multiple of 87866 and 87874