What is the Greatest Common Factor of 17785 and 17802?

Greatest common factor (GCF) of 17785 and 17802 is 1.

GCF(17785,17802) = 1

We will now calculate the prime factors of 17785 and 17802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17785 and 17802.

How to find the GCF of 17785 and 17802?

We will first find the prime factorization of 17785 and 17802. After we will calculate the factors of 17785 and 17802 and find the biggest common factor number .

Step-1: Prime Factorization of 17785

Prime factors of 17785 are 5, 3557. Prime factorization of 17785 in exponential form is:

17785 = 5¹ × 3557¹

Step-2: Prime Factorization of 17802

Prime factors of 17802 are 2, 3, 23, 43. Prime factorization of 17802 in exponential form is:

17802 = 2¹ × 3² × 23¹ × 43¹

Step-3: Factors of 17785

List of positive integer factors of 17785 that divides 17785 without a remainder.

1, 5, 3557

Step-4: Factors of 17802

List of positive integer factors of 17802 that divides 17785 without a remainder.

1, 2, 3, 6, 9, 18, 23, 43, 46, 69, 86, 129, 138, 207, 258, 387, 414, 774, 989, 1978, 2967, 5934, 8901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17785 and 17802. The biggest common factor number is the GCF number.
So the greatest common factor 17785 and 17802 is 1.

Also check out the Least Common Multiple of 17785 and 17802