What is the Greatest Common Factor of 87872 and 87887?

Greatest common factor (GCF) of 87872 and 87887 is 1.

GCF(87872,87887) = 1

We will now calculate the prime factors of 87872 and 87887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87872 and 87887.

How to find the GCF of 87872 and 87887?

We will first find the prime factorization of 87872 and 87887. After we will calculate the factors of 87872 and 87887 and find the biggest common factor number .

Step-1: Prime Factorization of 87872

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

87872 = 2⁶ × 1373¹

Step-2: Prime Factorization of 87887

Prime factors of 87887 are 87887. Prime factorization of 87887 in exponential form is:

87887 = 87887¹

Step-3: Factors of 87872

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

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

Step-4: Factors of 87887

List of positive integer factors of 87887 that divides 87872 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87872 and 87887. The biggest common factor number is the GCF number.
So the greatest common factor 87872 and 87887 is 1.

Also check out the Least Common Multiple of 87872 and 87887