What is the Greatest Common Factor of 33628 and 33646?

Greatest common factor (GCF) of 33628 and 33646 is 2.

GCF(33628,33646) = 2

We will now calculate the prime factors of 33628 and 33646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33628 and 33646.

How to find the GCF of 33628 and 33646?

We will first find the prime factorization of 33628 and 33646. After we will calculate the factors of 33628 and 33646 and find the biggest common factor number .

Step-1: Prime Factorization of 33628

Prime factors of 33628 are 2, 7, 1201. Prime factorization of 33628 in exponential form is:

33628 = 2² × 7¹ × 1201¹

Step-2: Prime Factorization of 33646

Prime factors of 33646 are 2, 16823. Prime factorization of 33646 in exponential form is:

33646 = 2¹ × 16823¹

Step-3: Factors of 33628

List of positive integer factors of 33628 that divides 33628 without a remainder.

1, 2, 4, 7, 14, 28, 1201, 2402, 4804, 8407, 16814

Step-4: Factors of 33646

List of positive integer factors of 33646 that divides 33628 without a remainder.

1, 2, 16823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33628 and 33646. The biggest common factor number is the GCF number.
So the greatest common factor 33628 and 33646 is 2.

Also check out the Least Common Multiple of 33628 and 33646