What is the Greatest Common Factor of 1860 and 1875?

Greatest common factor (GCF) of 1860 and 1875 is 15.

GCF(1860,1875) = 15

We will now calculate the prime factors of 1860 and 1875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1860 and 1875.

How to find the GCF of 1860 and 1875?

We will first find the prime factorization of 1860 and 1875. After we will calculate the factors of 1860 and 1875 and find the biggest common factor number .

Step-1: Prime Factorization of 1860

Prime factors of 1860 are 2, 3, 5, 31. Prime factorization of 1860 in exponential form is:

1860 = 2² × 3¹ × 5¹ × 31¹

Step-2: Prime Factorization of 1875

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

1875 = 3¹ × 5⁴

Step-3: Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930

Step-4: Factors of 1875

List of positive integer factors of 1875 that divides 1860 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1860 and 1875. The biggest common factor number is the GCF number.
So the greatest common factor 1860 and 1875 is 15.

Also check out the Least Common Multiple of 1860 and 1875