What is the Greatest Common Factor of 87863 and 87872?

Greatest common factor (GCF) of 87863 and 87872 is 1.

GCF(87863,87872) = 1

We will now calculate the prime factors of 87863 and 87872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87863 and 87872.

How to find the GCF of 87863 and 87872?

We will first find the prime factorization of 87863 and 87872. After we will calculate the factors of 87863 and 87872 and find the biggest common factor number .

Step-1: Prime Factorization of 87863

Prime factors of 87863 are 41, 2143. Prime factorization of 87863 in exponential form is:

87863 = 41¹ × 2143¹

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 87863

List of positive integer factors of 87863 that divides 87863 without a remainder.

1, 41, 2143

Step-4: Factors of 87872

List of positive integer factors of 87872 that divides 87863 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 87863 and 87872. The biggest common factor number is the GCF number.
So the greatest common factor 87863 and 87872 is 1.

Also check out the Least Common Multiple of 87863 and 87872