What is the Greatest Common Factor of 33666 and 33676?

Greatest common factor (GCF) of 33666 and 33676 is 2.

GCF(33666,33676) = 2

We will now calculate the prime factors of 33666 and 33676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33666 and 33676.

How to find the GCF of 33666 and 33676?

We will first find the prime factorization of 33666 and 33676. After we will calculate the factors of 33666 and 33676 and find the biggest common factor number .

Step-1: Prime Factorization of 33666

Prime factors of 33666 are 2, 3, 31, 181. Prime factorization of 33666 in exponential form is:

33666 = 2¹ × 3¹ × 31¹ × 181¹

Step-2: Prime Factorization of 33676

Prime factors of 33676 are 2, 8419. Prime factorization of 33676 in exponential form is:

33676 = 2² × 8419¹

Step-3: Factors of 33666

List of positive integer factors of 33666 that divides 33666 without a remainder.

1, 2, 3, 6, 31, 62, 93, 181, 186, 362, 543, 1086, 5611, 11222, 16833

Step-4: Factors of 33676

List of positive integer factors of 33676 that divides 33666 without a remainder.

1, 2, 4, 8419, 16838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33666 and 33676. The biggest common factor number is the GCF number.
So the greatest common factor 33666 and 33676 is 2.

Also check out the Least Common Multiple of 33666 and 33676