What is the Greatest Common Factor of 79875 and 79887?

Greatest common factor (GCF) of 79875 and 79887 is 3.

GCF(79875,79887) = 3

We will now calculate the prime factors of 79875 and 79887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79875 and 79887.

How to find the GCF of 79875 and 79887?

We will first find the prime factorization of 79875 and 79887. After we will calculate the factors of 79875 and 79887 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 79887

Prime factors of 79887 are 3, 31, 859. Prime factorization of 79887 in exponential form is:

79887 = 3¹ × 31¹ × 859¹

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 79887

List of positive integer factors of 79887 that divides 79875 without a remainder.

1, 3, 31, 93, 859, 2577, 26629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79875 and 79887. The biggest common factor number is the GCF number.
So the greatest common factor 79875 and 79887 is 3.

Also check out the Least Common Multiple of 79875 and 79887