What is the Greatest Common Factor of 16765 and 16780?

Greatest common factor (GCF) of 16765 and 16780 is 5.

GCF(16765,16780) = 5

We will now calculate the prime factors of 16765 and 16780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16765 and 16780.

How to find the GCF of 16765 and 16780?

We will first find the prime factorization of 16765 and 16780. After we will calculate the factors of 16765 and 16780 and find the biggest common factor number .

Step-1: Prime Factorization of 16765

Prime factors of 16765 are 5, 7, 479. Prime factorization of 16765 in exponential form is:

16765 = 5¹ × 7¹ × 479¹

Step-2: Prime Factorization of 16780

Prime factors of 16780 are 2, 5, 839. Prime factorization of 16780 in exponential form is:

16780 = 2² × 5¹ × 839¹

Step-3: Factors of 16765

List of positive integer factors of 16765 that divides 16765 without a remainder.

1, 5, 7, 35, 479, 2395, 3353

Step-4: Factors of 16780

List of positive integer factors of 16780 that divides 16765 without a remainder.

1, 2, 4, 5, 10, 20, 839, 1678, 3356, 4195, 8390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16765 and 16780. The biggest common factor number is the GCF number.
So the greatest common factor 16765 and 16780 is 5.

Also check out the Least Common Multiple of 16765 and 16780