What is the Greatest Common Factor of 87874 and 87894?

Greatest common factor (GCF) of 87874 and 87894 is 2.

GCF(87874,87894) = 2

We will now calculate the prime factors of 87874 and 87894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87874 and 87894.

How to find the GCF of 87874 and 87894?

We will first find the prime factorization of 87874 and 87894. After we will calculate the factors of 87874 and 87894 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87894

Prime factors of 87894 are 2, 3, 19, 257. Prime factorization of 87894 in exponential form is:

87894 = 2¹ × 3² × 19¹ × 257¹

Step-3: Factors of 87874

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

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

Step-4: Factors of 87894

List of positive integer factors of 87894 that divides 87874 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 257, 342, 514, 771, 1542, 2313, 4626, 4883, 9766, 14649, 29298, 43947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87874 and 87894. The biggest common factor number is the GCF number.
So the greatest common factor 87874 and 87894 is 2.

Also check out the Least Common Multiple of 87874 and 87894