What is the Greatest Common Factor of 27872 and 27887?

Greatest common factor (GCF) of 27872 and 27887 is 1.

GCF(27872,27887) = 1

We will now calculate the prime factors of 27872 and 27887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27872 and 27887.

How to find the GCF of 27872 and 27887?

We will first find the prime factorization of 27872 and 27887. After we will calculate the factors of 27872 and 27887 and find the biggest common factor number .

Step-1: Prime Factorization of 27872

Prime factors of 27872 are 2, 13, 67. Prime factorization of 27872 in exponential form is:

27872 = 2⁵ × 13¹ × 67¹

Step-2: Prime Factorization of 27887

Prime factors of 27887 are 79, 353. Prime factorization of 27887 in exponential form is:

27887 = 79¹ × 353¹

Step-3: Factors of 27872

List of positive integer factors of 27872 that divides 27872 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 67, 104, 134, 208, 268, 416, 536, 871, 1072, 1742, 2144, 3484, 6968, 13936

Step-4: Factors of 27887

List of positive integer factors of 27887 that divides 27872 without a remainder.

1, 79, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27872 and 27887. The biggest common factor number is the GCF number.
So the greatest common factor 27872 and 27887 is 1.

Also check out the Least Common Multiple of 27872 and 27887