What is the Greatest Common Factor of 1785 and 1795?

Greatest common factor (GCF) of 1785 and 1795 is 5.

GCF(1785,1795) = 5

We will now calculate the prime factors of 1785 and 1795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1785 and 1795.

How to find the GCF of 1785 and 1795?

We will first find the prime factorization of 1785 and 1795. After we will calculate the factors of 1785 and 1795 and find the biggest common factor number .

Step-1: Prime Factorization of 1785

Prime factors of 1785 are 3, 5, 7, 17. Prime factorization of 1785 in exponential form is:

1785 = 3¹ × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 1795

Prime factors of 1795 are 5, 359. Prime factorization of 1795 in exponential form is:

1795 = 5¹ × 359¹

Step-3: Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595

Step-4: Factors of 1795

List of positive integer factors of 1795 that divides 1785 without a remainder.

1, 5, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1785 and 1795. The biggest common factor number is the GCF number.
So the greatest common factor 1785 and 1795 is 5.

Also check out the Least Common Multiple of 1785 and 1795