What is the Greatest Common Factor of 1869 and 1875?

Greatest common factor (GCF) of 1869 and 1875 is 3.

GCF(1869,1875) = 3

We will now calculate the prime factors of 1869 and 1875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1869 and 1875.

How to find the GCF of 1869 and 1875?

We will first find the prime factorization of 1869 and 1875. After we will calculate the factors of 1869 and 1875 and find the biggest common factor number .

Step-1: Prime Factorization of 1869

Prime factors of 1869 are 3, 7, 89. Prime factorization of 1869 in exponential form is:

1869 = 3¹ × 7¹ × 89¹

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 1869

List of positive integer factors of 1869 that divides 1869 without a remainder.

1, 3, 7, 21, 89, 267, 623

Step-4: Factors of 1875

List of positive integer factors of 1875 that divides 1869 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 1869 and 1875. The biggest common factor number is the GCF number.
So the greatest common factor 1869 and 1875 is 3.

Also check out the Least Common Multiple of 1869 and 1875