What is the Greatest Common Factor of 79875 and 79880?

Greatest common factor (GCF) of 79875 and 79880 is 5.

GCF(79875,79880) = 5

We will now calculate the prime factors of 79875 and 79880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79875 and 79880.

How to find the GCF of 79875 and 79880?

We will first find the prime factorization of 79875 and 79880. After we will calculate the factors of 79875 and 79880 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 79880

Prime factors of 79880 are 2, 5, 1997. Prime factorization of 79880 in exponential form is:

79880 = 2³ × 5¹ × 1997¹

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 79880

List of positive integer factors of 79880 that divides 79875 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1997, 3994, 7988, 9985, 15976, 19970, 39940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79875 and 79880. The biggest common factor number is the GCF number.
So the greatest common factor 79875 and 79880 is 5.

Also check out the Least Common Multiple of 79875 and 79880