What is the Greatest Common Factor of 87856 and 87872?

Greatest common factor (GCF) of 87856 and 87872 is 16.

GCF(87856,87872) = 16

We will now calculate the prime factors of 87856 and 87872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87856 and 87872.

How to find the GCF of 87856 and 87872?

We will first find the prime factorization of 87856 and 87872. After we will calculate the factors of 87856 and 87872 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 87872

Prime factors of 87872 are 2, 1373. Prime factorization of 87872 in exponential form is:

87872 = 2⁶ × 1373¹

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 87872

List of positive integer factors of 87872 that divides 87856 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1373, 2746, 5492, 10984, 21968, 43936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87856 and 87872. The biggest common factor number is the GCF number.
So the greatest common factor 87856 and 87872 is 16.

Also check out the Least Common Multiple of 87856 and 87872