What is the Greatest Common Factor of 87875 and 87881?

Greatest common factor (GCF) of 87875 and 87881 is 1.

GCF(87875,87881) = 1

We will now calculate the prime factors of 87875 and 87881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87875 and 87881.

How to find the GCF of 87875 and 87881?

We will first find the prime factorization of 87875 and 87881. After we will calculate the factors of 87875 and 87881 and find the biggest common factor number .

Step-1: Prime Factorization of 87875

Prime factors of 87875 are 5, 19, 37. Prime factorization of 87875 in exponential form is:

87875 = 5³ × 19¹ × 37¹

Step-2: Prime Factorization of 87881

Prime factors of 87881 are 87881. Prime factorization of 87881 in exponential form is:

87881 = 87881¹

Step-3: Factors of 87875

List of positive integer factors of 87875 that divides 87875 without a remainder.

1, 5, 19, 25, 37, 95, 125, 185, 475, 703, 925, 2375, 3515, 4625, 17575

Step-4: Factors of 87881

List of positive integer factors of 87881 that divides 87875 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87875 and 87881. The biggest common factor number is the GCF number.
So the greatest common factor 87875 and 87881 is 1.

Also check out the Least Common Multiple of 87875 and 87881