What is the Greatest Common Factor of 33614 and 33633?

Greatest common factor (GCF) of 33614 and 33633 is 1.

GCF(33614,33633) = 1

We will now calculate the prime factors of 33614 and 33633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33614 and 33633.

How to find the GCF of 33614 and 33633?

We will first find the prime factorization of 33614 and 33633. After we will calculate the factors of 33614 and 33633 and find the biggest common factor number .

Step-1: Prime Factorization of 33614

Prime factors of 33614 are 2, 7. Prime factorization of 33614 in exponential form is:

33614 = 2¹ × 7⁵

Step-2: Prime Factorization of 33633

Prime factors of 33633 are 3, 37, 101. Prime factorization of 33633 in exponential form is:

33633 = 3² × 37¹ × 101¹

Step-3: Factors of 33614

List of positive integer factors of 33614 that divides 33614 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686, 2401, 4802, 16807

Step-4: Factors of 33633

List of positive integer factors of 33633 that divides 33614 without a remainder.

1, 3, 9, 37, 101, 111, 303, 333, 909, 3737, 11211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33614 and 33633. The biggest common factor number is the GCF number.
So the greatest common factor 33614 and 33633 is 1.

Also check out the Least Common Multiple of 33614 and 33633