What is the Greatest Common Factor of 33654 and 33666?

Greatest common factor (GCF) of 33654 and 33666 is 6.

GCF(33654,33666) = 6

We will now calculate the prime factors of 33654 and 33666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33654 and 33666.

How to find the GCF of 33654 and 33666?

We will first find the prime factorization of 33654 and 33666. After we will calculate the factors of 33654 and 33666 and find the biggest common factor number .

Step-1: Prime Factorization of 33654

Prime factors of 33654 are 2, 3, 71, 79. Prime factorization of 33654 in exponential form is:

33654 = 2¹ × 3¹ × 71¹ × 79¹

Step-2: 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-3: Factors of 33654

List of positive integer factors of 33654 that divides 33654 without a remainder.

1, 2, 3, 6, 71, 79, 142, 158, 213, 237, 426, 474, 5609, 11218, 16827

Step-4: Factors of 33666

List of positive integer factors of 33666 that divides 33654 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33654 and 33666. The biggest common factor number is the GCF number.
So the greatest common factor 33654 and 33666 is 6.

Also check out the Least Common Multiple of 33654 and 33666