What is the Greatest Common Factor of 1869 and 1876?

Greatest common factor (GCF) of 1869 and 1876 is 7.

GCF(1869,1876) = 7

We will now calculate the prime factors of 1869 and 1876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1869 and 1876.

How to find the GCF of 1869 and 1876?

We will first find the prime factorization of 1869 and 1876. After we will calculate the factors of 1869 and 1876 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 1876

Prime factors of 1876 are 2, 7, 67. Prime factorization of 1876 in exponential form is:

1876 = 2² × 7¹ × 67¹

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 1876

List of positive integer factors of 1876 that divides 1869 without a remainder.

1, 2, 4, 7, 14, 28, 67, 134, 268, 469, 938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1869 and 1876. The biggest common factor number is the GCF number.
So the greatest common factor 1869 and 1876 is 7.

Also check out the Least Common Multiple of 1869 and 1876