What is the Greatest Common Factor of 87872 and 87877?

Greatest common factor (GCF) of 87872 and 87877 is 1.

GCF(87872,87877) = 1

We will now calculate the prime factors of 87872 and 87877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87872 and 87877.

How to find the GCF of 87872 and 87877?

We will first find the prime factorization of 87872 and 87877. After we will calculate the factors of 87872 and 87877 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 87877

Prime factors of 87877 are 87877. Prime factorization of 87877 in exponential form is:

87877 = 87877¹

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 87877

List of positive integer factors of 87877 that divides 87872 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87872 and 87877. The biggest common factor number is the GCF number.
So the greatest common factor 87872 and 87877 is 1.

Also check out the Least Common Multiple of 87872 and 87877