What is the Greatest Common Factor of 16633 and 16642?

Greatest common factor (GCF) of 16633 and 16642 is 1.

GCF(16633,16642) = 1

We will now calculate the prime factors of 16633 and 16642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16633 and 16642.

How to find the GCF of 16633 and 16642?

We will first find the prime factorization of 16633 and 16642. After we will calculate the factors of 16633 and 16642 and find the biggest common factor number .

Step-1: Prime Factorization of 16633

Prime factors of 16633 are 16633. Prime factorization of 16633 in exponential form is:

16633 = 16633¹

Step-2: Prime Factorization of 16642

Prime factors of 16642 are 2, 53, 157. Prime factorization of 16642 in exponential form is:

16642 = 2¹ × 53¹ × 157¹

Step-3: Factors of 16633

List of positive integer factors of 16633 that divides 16633 without a remainder.

Step-4: Factors of 16642

List of positive integer factors of 16642 that divides 16633 without a remainder.

1, 2, 53, 106, 157, 314, 8321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16633 and 16642. The biggest common factor number is the GCF number.
So the greatest common factor 16633 and 16642 is 1.

Also check out the Least Common Multiple of 16633 and 16642