What is the Greatest Common Factor of 16749 and 16756?

Greatest common factor (GCF) of 16749 and 16756 is 1.

GCF(16749,16756) = 1

We will now calculate the prime factors of 16749 and 16756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16749 and 16756.

How to find the GCF of 16749 and 16756?

We will first find the prime factorization of 16749 and 16756. After we will calculate the factors of 16749 and 16756 and find the biggest common factor number .

Step-1: Prime Factorization of 16749

Prime factors of 16749 are 3, 1861. Prime factorization of 16749 in exponential form is:

16749 = 3² × 1861¹

Step-2: Prime Factorization of 16756

Prime factors of 16756 are 2, 59, 71. Prime factorization of 16756 in exponential form is:

16756 = 2² × 59¹ × 71¹

Step-3: Factors of 16749

List of positive integer factors of 16749 that divides 16749 without a remainder.

1, 3, 9, 1861, 5583

Step-4: Factors of 16756

List of positive integer factors of 16756 that divides 16749 without a remainder.

1, 2, 4, 59, 71, 118, 142, 236, 284, 4189, 8378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16749 and 16756. The biggest common factor number is the GCF number.
So the greatest common factor 16749 and 16756 is 1.

Also check out the Least Common Multiple of 16749 and 16756