What is the Greatest Common Factor of 79875 and 79889?

Greatest common factor (GCF) of 79875 and 79889 is 1.

GCF(79875,79889) = 1

We will now calculate the prime factors of 79875 and 79889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79875 and 79889.

How to find the GCF of 79875 and 79889?

We will first find the prime factorization of 79875 and 79889. After we will calculate the factors of 79875 and 79889 and find the biggest common factor number .

Step-1: Prime Factorization of 79875

Prime factors of 79875 are 3, 5, 71. Prime factorization of 79875 in exponential form is:

79875 = 3² × 5³ × 71¹

Step-2: Prime Factorization of 79889

Prime factors of 79889 are 79889. Prime factorization of 79889 in exponential form is:

79889 = 79889¹

Step-3: Factors of 79875

List of positive integer factors of 79875 that divides 79875 without a remainder.

1, 3, 5, 9, 15, 25, 45, 71, 75, 125, 213, 225, 355, 375, 639, 1065, 1125, 1775, 3195, 5325, 8875, 15975, 26625

Step-4: Factors of 79889

List of positive integer factors of 79889 that divides 79875 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79875 and 79889. The biggest common factor number is the GCF number.
So the greatest common factor 79875 and 79889 is 1.

Also check out the Least Common Multiple of 79875 and 79889