What is the Greatest Common Factor of 87856 and 87874?

Greatest common factor (GCF) of 87856 and 87874 is 2.

GCF(87856,87874) = 2

We will now calculate the prime factors of 87856 and 87874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87856 and 87874.

How to find the GCF of 87856 and 87874?

We will first find the prime factorization of 87856 and 87874. After we will calculate the factors of 87856 and 87874 and find the biggest common factor number .

Step-1: Prime Factorization of 87856

Prime factors of 87856 are 2, 17, 19. Prime factorization of 87856 in exponential form is:

87856 = 2⁴ × 17² × 19¹

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 87856

List of positive integer factors of 87856 that divides 87856 without a remainder.

1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 289, 304, 323, 578, 646, 1156, 1292, 2312, 2584, 4624, 5168, 5491, 10982, 21964, 43928

Step-4: Factors of 87874

List of positive integer factors of 87874 that divides 87856 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87856 and 87874. The biggest common factor number is the GCF number.
So the greatest common factor 87856 and 87874 is 2.

Also check out the Least Common Multiple of 87856 and 87874