What is the Greatest Common Factor of 1875 and 1880?

Greatest common factor (GCF) of 1875 and 1880 is 5.

GCF(1875,1880) = 5

We will now calculate the prime factors of 1875 and 1880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1875 and 1880.

How to find the GCF of 1875 and 1880?

We will first find the prime factorization of 1875 and 1880. After we will calculate the factors of 1875 and 1880 and find the biggest common factor number .

Step-1: Prime Factorization of 1875

Prime factors of 1875 are 3, 5. Prime factorization of 1875 in exponential form is:

1875 = 3¹ × 5⁴

Step-2: Prime Factorization of 1880

Prime factors of 1880 are 2, 5, 47. Prime factorization of 1880 in exponential form is:

1880 = 2³ × 5¹ × 47¹

Step-3: Factors of 1875

List of positive integer factors of 1875 that divides 1875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625

Step-4: Factors of 1880

List of positive integer factors of 1880 that divides 1875 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1875 and 1880. The biggest common factor number is the GCF number.
So the greatest common factor 1875 and 1880 is 5.

Also check out the Least Common Multiple of 1875 and 1880