What is the Greatest Common Factor of 87875 and 87889?

Greatest common factor (GCF) of 87875 and 87889 is 1.

GCF(87875,87889) = 1

We will now calculate the prime factors of 87875 and 87889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87875 and 87889.

How to find the GCF of 87875 and 87889?

We will first find the prime factorization of 87875 and 87889. After we will calculate the factors of 87875 and 87889 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 87889

Prime factors of 87889 are 179, 491. Prime factorization of 87889 in exponential form is:

87889 = 179¹ × 491¹

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 87889

List of positive integer factors of 87889 that divides 87875 without a remainder.

1, 179, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87875 and 87889. The biggest common factor number is the GCF number.
So the greatest common factor 87875 and 87889 is 1.

Also check out the Least Common Multiple of 87875 and 87889