What is the Greatest Common Factor of 16762 and 16780?

Greatest common factor (GCF) of 16762 and 16780 is 2.

GCF(16762,16780) = 2

We will now calculate the prime factors of 16762 and 16780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16762 and 16780.

How to find the GCF of 16762 and 16780?

We will first find the prime factorization of 16762 and 16780. After we will calculate the factors of 16762 and 16780 and find the biggest common factor number .

Step-1: Prime Factorization of 16762

Prime factors of 16762 are 2, 17, 29. Prime factorization of 16762 in exponential form is:

16762 = 2¹ × 17² × 29¹

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 16762

List of positive integer factors of 16762 that divides 16762 without a remainder.

1, 2, 17, 29, 34, 58, 289, 493, 578, 986, 8381

Step-4: Factors of 16780

List of positive integer factors of 16780 that divides 16762 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 16762 and 16780. The biggest common factor number is the GCF number.
So the greatest common factor 16762 and 16780 is 2.

Also check out the Least Common Multiple of 16762 and 16780