What is the Greatest Common Factor of 1869 and 1884?

Greatest common factor (GCF) of 1869 and 1884 is 3.

GCF(1869,1884) = 3

We will now calculate the prime factors of 1869 and 1884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1869 and 1884.

How to find the GCF of 1869 and 1884?

We will first find the prime factorization of 1869 and 1884. After we will calculate the factors of 1869 and 1884 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 1884

Prime factors of 1884 are 2, 3, 157. Prime factorization of 1884 in exponential form is:

1884 = 2² × 3¹ × 157¹

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 1884

List of positive integer factors of 1884 that divides 1869 without a remainder.

1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1869 and 1884. The biggest common factor number is the GCF number.
So the greatest common factor 1869 and 1884 is 3.

Also check out the Least Common Multiple of 1869 and 1884