What is the Greatest Common Factor of 1883 and 1890?

Greatest common factor (GCF) of 1883 and 1890 is 7.

GCF(1883,1890) = 7

We will now calculate the prime factors of 1883 and 1890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1883 and 1890.

How to find the GCF of 1883 and 1890?

We will first find the prime factorization of 1883 and 1890. After we will calculate the factors of 1883 and 1890 and find the biggest common factor number .

Step-1: Prime Factorization of 1883

Prime factors of 1883 are 7, 269. Prime factorization of 1883 in exponential form is:

1883 = 7¹ × 269¹

Step-2: Prime Factorization of 1890

Prime factors of 1890 are 2, 3, 5, 7. Prime factorization of 1890 in exponential form is:

1890 = 2¹ × 3³ × 5¹ × 7¹

Step-3: Factors of 1883

List of positive integer factors of 1883 that divides 1883 without a remainder.

1, 7, 269

Step-4: Factors of 1890

List of positive integer factors of 1890 that divides 1883 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1883 and 1890. The biggest common factor number is the GCF number.
So the greatest common factor 1883 and 1890 is 7.

Also check out the Least Common Multiple of 1883 and 1890