What is the Greatest Common Factor of 17780 and 17785?

Greatest common factor (GCF) of 17780 and 17785 is 5.

GCF(17780,17785) = 5

We will now calculate the prime factors of 17780 and 17785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17780 and 17785.

How to find the GCF of 17780 and 17785?

We will first find the prime factorization of 17780 and 17785. After we will calculate the factors of 17780 and 17785 and find the biggest common factor number .

Step-1: Prime Factorization of 17780

Prime factors of 17780 are 2, 5, 7, 127. Prime factorization of 17780 in exponential form is:

17780 = 2² × 5¹ × 7¹ × 127¹

Step-2: Prime Factorization of 17785

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

17785 = 5¹ × 3557¹

Step-3: Factors of 17780

List of positive integer factors of 17780 that divides 17780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 127, 140, 254, 508, 635, 889, 1270, 1778, 2540, 3556, 4445, 8890

Step-4: Factors of 17785

List of positive integer factors of 17785 that divides 17780 without a remainder.

1, 5, 3557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17780 and 17785. The biggest common factor number is the GCF number.
So the greatest common factor 17780 and 17785 is 5.

Also check out the Least Common Multiple of 17780 and 17785