What is the Greatest Common Factor of 71875 and 71880?

Greatest common factor (GCF) of 71875 and 71880 is 5.

GCF(71875,71880) = 5

We will now calculate the prime factors of 71875 and 71880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71875 and 71880.

How to find the GCF of 71875 and 71880?

We will first find the prime factorization of 71875 and 71880. After we will calculate the factors of 71875 and 71880 and find the biggest common factor number .

Step-1: Prime Factorization of 71875

Prime factors of 71875 are 5, 23. Prime factorization of 71875 in exponential form is:

71875 = 5⁵ × 23¹

Step-2: Prime Factorization of 71880

Prime factors of 71880 are 2, 3, 5, 599. Prime factorization of 71880 in exponential form is:

71880 = 2³ × 3¹ × 5¹ × 599¹

Step-3: Factors of 71875

List of positive integer factors of 71875 that divides 71875 without a remainder.

1, 5, 23, 25, 115, 125, 575, 625, 2875, 3125, 14375

Step-4: Factors of 71880

List of positive integer factors of 71880 that divides 71875 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 599, 1198, 1797, 2396, 2995, 3594, 4792, 5990, 7188, 8985, 11980, 14376, 17970, 23960, 35940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71875 and 71880. The biggest common factor number is the GCF number.
So the greatest common factor 71875 and 71880 is 5.

Also check out the Least Common Multiple of 71875 and 71880