What is the Greatest Common Factor of 1870 and 1883?

Greatest common factor (GCF) of 1870 and 1883 is 1.

GCF(1870,1883) = 1

We will now calculate the prime factors of 1870 and 1883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1870 and 1883.

How to find the GCF of 1870 and 1883?

We will first find the prime factorization of 1870 and 1883. After we will calculate the factors of 1870 and 1883 and find the biggest common factor number .

Step-1: Prime Factorization of 1870

Prime factors of 1870 are 2, 5, 11, 17. Prime factorization of 1870 in exponential form is:

1870 = 2¹ × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 1883

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

1883 = 7¹ × 269¹

Step-3: Factors of 1870

List of positive integer factors of 1870 that divides 1870 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935

Step-4: Factors of 1883

List of positive integer factors of 1883 that divides 1870 without a remainder.

1, 7, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1870 and 1883. The biggest common factor number is the GCF number.
So the greatest common factor 1870 and 1883 is 1.

Also check out the Least Common Multiple of 1870 and 1883